-2(5x+13)=x-(2-x)

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Solution for -2(5x+13)=x-(2-x) equation:


Simplifying
-2(5x + 13) = x + -1(2 + -1x)

Reorder the terms:
-2(13 + 5x) = x + -1(2 + -1x)
(13 * -2 + 5x * -2) = x + -1(2 + -1x)
(-26 + -10x) = x + -1(2 + -1x)
-26 + -10x = x + (2 * -1 + -1x * -1)
-26 + -10x = x + (-2 + 1x)

Reorder the terms:
-26 + -10x = -2 + x + 1x

Combine like terms: x + 1x = 2x
-26 + -10x = -2 + 2x

Solving
-26 + -10x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-26 + -10x + -2x = -2 + 2x + -2x

Combine like terms: -10x + -2x = -12x
-26 + -12x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-26 + -12x = -2 + 0
-26 + -12x = -2

Add '26' to each side of the equation.
-26 + 26 + -12x = -2 + 26

Combine like terms: -26 + 26 = 0
0 + -12x = -2 + 26
-12x = -2 + 26

Combine like terms: -2 + 26 = 24
-12x = 24

Divide each side by '-12'.
x = -2

Simplifying
x = -2

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