4(x+3)-6=-2(x-5)+8

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Solution for 4(x+3)-6=-2(x-5)+8 equation: 


Simplifying
4(x + 3) + -6 = -2(x + -5) + 8

Reorder the terms:
4(3 + x) + -6 = -2(x + -5) + 8
(3 * 4 + x * 4) + -6 = -2(x + -5) + 8
(12 + 4x) + -6 = -2(x + -5) + 8

Reorder the terms:
12 + -6 + 4x = -2(x + -5) + 8

Combine like terms: 12 + -6 = 6
6 + 4x = -2(x + -5) + 8

Reorder the terms:
6 + 4x = -2(-5 + x) + 8
6 + 4x = (-5 * -2 + x * -2) + 8
6 + 4x = (10 + -2x) + 8

Reorder the terms:
6 + 4x = 10 + 8 + -2x

Combine like terms: 10 + 8 = 18
6 + 4x = 18 + -2x

Solving
6 + 4x = 18 + -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 = 18 + -2x + 2x

Combine like terms: 4x + 2x = 6x
6 + 6x = 18 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 6x = 18 + 0
6 + 6x = 18

Add '-6' to each side of the equation.
6 + -6 + 6x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 18 + -6
6x = 18 + -6

Combine like terms: 18 + -6 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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