5(2x-7)-2=5(x-5)+8

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Solution for 5(2x-7)-2=5(x-5)+8 equation:


Simplifying
5(2x + -7) + -2 = 5(x + -5) + 8

Reorder the terms:
5(-7 + 2x) + -2 = 5(x + -5) + 8
(-7 * 5 + 2x * 5) + -2 = 5(x + -5) + 8
(-35 + 10x) + -2 = 5(x + -5) + 8

Reorder the terms:
-35 + -2 + 10x = 5(x + -5) + 8

Combine like terms: -35 + -2 = -37
-37 + 10x = 5(x + -5) + 8

Reorder the terms:
-37 + 10x = 5(-5 + x) + 8
-37 + 10x = (-5 * 5 + x * 5) + 8
-37 + 10x = (-25 + 5x) + 8

Reorder the terms:
-37 + 10x = -25 + 8 + 5x

Combine like terms: -25 + 8 = -17
-37 + 10x = -17 + 5x

Solving
-37 + 10x = -17 + 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.
-37 + 10x + -5x = -17 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-37 + 5x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-37 + 5x = -17 + 0
-37 + 5x = -17

Add '37' to each side of the equation.
-37 + 37 + 5x = -17 + 37

Combine like terms: -37 + 37 = 0
0 + 5x = -17 + 37
5x = -17 + 37

Combine like terms: -17 + 37 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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