5(3x-8)-8=5(x-2)+32

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Solution for 5(3x-8)-8=5(x-2)+32 equation: 


Simplifying
5(3x + -8) + -8 = 5(x + -2) + 32

Reorder the terms:
5(-8 + 3x) + -8 = 5(x + -2) + 32
(-8 * 5 + 3x * 5) + -8 = 5(x + -2) + 32
(-40 + 15x) + -8 = 5(x + -2) + 32

Reorder the terms:
-40 + -8 + 15x = 5(x + -2) + 32

Combine like terms: -40 + -8 = -48
-48 + 15x = 5(x + -2) + 32

Reorder the terms:
-48 + 15x = 5(-2 + x) + 32
-48 + 15x = (-2 * 5 + x * 5) + 32
-48 + 15x = (-10 + 5x) + 32

Reorder the terms:
-48 + 15x = -10 + 32 + 5x

Combine like terms: -10 + 32 = 22
-48 + 15x = 22 + 5x

Solving
-48 + 15x = 22 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-48 + 15x + -5x = 22 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-48 + 10x = 22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-48 + 10x = 22 + 0
-48 + 10x = 22

Add '48' to each side of the equation.
-48 + 48 + 10x = 22 + 48

Combine like terms: -48 + 48 = 0
0 + 10x = 22 + 48
10x = 22 + 48

Combine like terms: 22 + 48 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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