6x+8-3x=2(x-2)

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Solution for 6x+8-3x=2(x-2) equation: 


Simplifying
6x + 8 + -3x = 2(x + -2)

Reorder the terms:
8 + 6x + -3x = 2(x + -2)

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

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

Solving
8 + 3x = -4 + 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.
8 + 3x + -2x = -4 + 2x + -2x

Combine like terms: 3x + -2x = 1x
8 + 1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 1x = -4 + 0
8 + 1x = -4

Add '-8' to each side of the equation.
8 + -8 + 1x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = -4 + -8
1x = -4 + -8

Combine like terms: -4 + -8 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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