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

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


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

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

Reorder the terms:
-10 + 7 + 10x = 5x + -8

Combine like terms: -10 + 7 = -3
-3 + 10x = 5x + -8

Reorder the terms:
-3 + 10x = -8 + 5x

Solving
-3 + 10x = -8 + 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.
-3 + 10x + -5x = -8 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-3 + 5x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 5x = -8 + 0
-3 + 5x = -8

Add '3' to each side of the equation.
-3 + 3 + 5x = -8 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -8 + 3
5x = -8 + 3

Combine like terms: -8 + 3 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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