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

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Solution for 4(x+3)-6=2x-8 equation: 


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

Reorder the terms:
4(3 + x) + -6 = 2x + -8
(3 * 4 + x * 4) + -6 = 2x + -8
(12 + 4x) + -6 = 2x + -8

Reorder the terms:
12 + -6 + 4x = 2x + -8

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

Reorder the terms:
6 + 4x = -8 + 2x

Solving
6 + 4x = -8 + 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.
6 + 4x + -2x = -8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 2x = -8 + 0
6 + 2x = -8

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

Combine like terms: 6 + -6 = 0
0 + 2x = -8 + -6
2x = -8 + -6

Combine like terms: -8 + -6 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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