10x-(-5+7x)=2(x-5)-x

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Solution for 10x-(-5+7x)=2(x-5)-x equation:


Simplifying
10x + -1(-5 + 7x) = 2(x + -5) + -1x
10x + (-5 * -1 + 7x * -1) = 2(x + -5) + -1x
10x + (5 + -7x) = 2(x + -5) + -1x

Reorder the terms:
5 + 10x + -7x = 2(x + -5) + -1x

Combine like terms: 10x + -7x = 3x
5 + 3x = 2(x + -5) + -1x

Reorder the terms:
5 + 3x = 2(-5 + x) + -1x
5 + 3x = (-5 * 2 + x * 2) + -1x
5 + 3x = (-10 + 2x) + -1x

Combine like terms: 2x + -1x = 1x
5 + 3x = -10 + 1x

Solving
5 + 3x = -10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 3x + -1x = -10 + 1x + -1x

Combine like terms: 3x + -1x = 2x
5 + 2x = -10 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 2x = -10 + 0
5 + 2x = -10

Add '-5' to each side of the equation.
5 + -5 + 2x = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = -10 + -5
2x = -10 + -5

Combine like terms: -10 + -5 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

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