These are three examples of multi-step equations that yield the respective values of 22, 23, and 29.
Here are three multi-step equations that equal 22, 23, and 29, respectively:
Equation equaling 22:
3x + 4 = 22
Solution:
3x = 22 - 4
3x = 18
x = 18 / 3
x = 6
So, the equation 3x + 4 = 22 has a solution of x = 6, which satisfies the condition.
Equation equaling 23:
2x + 5 = 23
Solution:
2x = 23 - 5
2x = 18
x = 18 / 2
x = 9
So, the equation 2x + 5 = 23 has a solution of x = 9, which satisfies the condition.
Equation equaling 29:
4x - 3 = 29
Solution:
4x = 29 + 3
4x = 32
x = 32 / 4
x = 8
So, the equation 4x - 3 = 29 has a solution of x = 8, which satisfies the condition.
These are three examples of multi-step equations that yield the respective values of 22, 23, and 29.
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5+3x=7(x+3)
Answer:
-4
Step-by-step explanation:
Simplifying
5 + 3x = 7(x + 3)
Reorder the terms:
5 + 3x = 7(3 + x)
5 + 3x = (3 * 7 + x * 7)
5 + 3x = (21 + 7x)
Solving
5 + 3x = 21 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
5 + 3x + -7x = 21 + 7x + -7x
Combine like terms: 3x + -7x = -4x
5 + -4x = 21 + 7x + -7x
Combine like terms: 7x + -7x = 0
5 + -4x = 21 + 0
5 + -4x = 21
Add '-5' to each side of the equation.
5 + -5 + -4x = 21 + -5
Combine like terms: 5 + -5 = 0
0 + -4x = 21 + -5
-4x = 21 + -5
Combine like terms: 21 + -5 = 16
-4x = 16
Divide each side by '-4'.
x = -4
Simplifying
x = -4