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

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


Simplifying
3x + -8 = 2(-1x + 6)

Reorder the terms:
-8 + 3x = 2(-1x + 6)

Reorder the terms:
-8 + 3x = 2(6 + -1x)
-8 + 3x = (6 * 2 + -1x * 2)
-8 + 3x = (12 + -2x)

Solving
-8 + 3x = 12 + -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 = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-8 + 5x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 5x = 12 + 0
-8 + 5x = 12

Add '8' to each side of the equation.
-8 + 8 + 5x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 12 + 8
5x = 12 + 8

Combine like terms: 12 + 8 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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