-2(x-7)=-3x+(2x-8)

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Solution for -2(x-7)=-3x+(2x-8) equation: 


Simplifying
-2(x + -7) = -3x + (2x + -8)

Reorder the terms:
-2(-7 + x) = -3x + (2x + -8)
(-7 * -2 + x * -2) = -3x + (2x + -8)
(14 + -2x) = -3x + (2x + -8)

Reorder the terms:
14 + -2x = -3x + (-8 + 2x)

Remove parenthesis around (-8 + 2x)
14 + -2x = -3x + -8 + 2x

Reorder the terms:
14 + -2x = -8 + -3x + 2x

Combine like terms: -3x + 2x = -1x
14 + -2x = -8 + -1x

Solving
14 + -2x = -8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + -2x + x = -8 + -1x + x

Combine like terms: -2x + x = -1x
14 + -1x = -8 + -1x + x

Combine like terms: -1x + x = 0
14 + -1x = -8 + 0
14 + -1x = -8

Add '-14' to each side of the equation.
14 + -14 + -1x = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = -8 + -14
-1x = -8 + -14

Combine like terms: -8 + -14 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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