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

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


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

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

Reorder the terms:
6 + 2 + -2x = 4(x + -3) + 2x

Combine like terms: 6 + 2 = 8
8 + -2x = 4(x + -3) + 2x

Reorder the terms:
8 + -2x = 4(-3 + x) + 2x
8 + -2x = (-3 * 4 + x * 4) + 2x
8 + -2x = (-12 + 4x) + 2x

Combine like terms: 4x + 2x = 6x
8 + -2x = -12 + 6x

Solving
8 + -2x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + -2x + -6x = -12 + 6x + -6x

Combine like terms: -2x + -6x = -8x
8 + -8x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -8x = -12 + 0
8 + -8x = -12

Add '-8' to each side of the equation.
8 + -8 + -8x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = -12 + -8
-8x = -12 + -8

Combine like terms: -12 + -8 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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