Which value of x makes the following equation true? 3(x - 4) = -2x + 18 A. 7 B. 9 C. 10 D. 6

Answers

Answer 1

Answer: 3(x - 4) = -2x + 18

Basically, you need to solve for x

3(x - 4) = -2x + 18
3x - 12 = -2x + 18
+2x +2x

5x - 12 = 18
+12 +12

5x = 30
x = 6

Answer: The value that makes this equation true would be 6.

Answer 2

Answer: 3x-12=-2x+18 (distributive property)
Now add two x to both sides.
5x-12=18
Now add. 12 to both sides.
5x=30
Divide both sides by 5.
x=6

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32 is 40 percent of what number

Answers

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

We have,

To explain further, let's break down the calculation step by step:

We are given that 32 is 40 percent of some unknown number. Mathematically, this can be represented as:

32 = 0.40 x

To find the unknown number (represented by x), we want to isolate it on one side of the equation.

By dividing both sides of the equation by 0.40, we eliminate the 0.40 on the right side, and we have:

32 / 0.40 = x

Simplifying the left side:

80 = x

Therefore,

The unknownnumber (x) is equal to 80.

This means that 32 is 40 percent of 80, or in other words, 32 is 40 percent of the number 80.

Learn more about percentages here:

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Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

$\boxed{ \ 32 = 40 \% * N \ }$

Which can be rewritten to be

$\boxed{ \ 40 \% * N = 32 \ }$

All we have to do to get the N value is a division operation.

$\boxed{ \ If \ a * b = c, \ then \ a = c / b \ or \ b = c / a \ }$

$\boxed{ \ If \ a * b = c \ then \ a = (c)/(b) \ or \ b = (c)/(a) \ }$

$\boxed{ \ 40 \% * N = 32 \ }$

$\boxed{ \ N = 32 / 40 \% \ }$

Recall that $\boxed{ \ 40 \% = (40)/(100) \ }$

$\boxed{ \ N = 32 / (40)/(100) \ }$ ... Equation-1

Recall that $\boxed{ \ a / (b)/(c) \rightarrow a * (c)/(b) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$ ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

$\boxed{ \ N = 32 * (10)/(4) \ }$

32 is crossed out with 4, in other words dividing each other.

$\boxed{ \ N = 8 * 10 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-1:

Recall that $\boxed{ \ (40)/(100) = 0.40 = 0.4 \ }$

From Equation-1 above, we rearrange it into

$\boxed{ \ N = (32)/(0.4) \ }$

Both the numerator and denominator are multiplied by 10.

$\boxed{ \ N = (320)/(4) \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

$\boxed{ \ N = 32 * (5)/(2) \ }$

32 is crossed out with 2, in other words dividing each other.

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Alternative-3:

$\boxed{ \ 40 \% * N = 32 \ }$

Both sides are multiplied by $\boxed{ \ (100)/(40) \ }$

$\boxed{ \ N = 32 * (100)/(40) \ }$

$\boxed{ \ N = 32 * (10)/(4) \ }$

$\boxed{ \ N = 32 * (5)/(2) \ }$

$\boxed{ \ N = 16 * 5 \ }$

Thus, the result is $\boxed{\boxed{ \ N = 80 \ }}$

Learn more

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Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation

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