-3(2x-4)=5x-(-2+x)

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Solution for -3(2x-4)=5x-(-2+x) equation:


Simplifying
-3(2x + -4) = 5x + -1(-2 + x)

Reorder the terms:
-3(-4 + 2x) = 5x + -1(-2 + x)
(-4 * -3 + 2x * -3) = 5x + -1(-2 + x)
(12 + -6x) = 5x + -1(-2 + x)
12 + -6x = 5x + (-2 * -1 + x * -1)
12 + -6x = 5x + (2 + -1x)

Reorder the terms:
12 + -6x = 2 + 5x + -1x

Combine like terms: 5x + -1x = 4x
12 + -6x = 2 + 4x

Solving
12 + -6x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + -6x + -4x = 2 + 4x + -4x

Combine like terms: -6x + -4x = -10x
12 + -10x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -10x = 2 + 0
12 + -10x = 2

Add '-12' to each side of the equation.
12 + -12 + -10x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 2 + -12
-10x = 2 + -12

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

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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