6(x+2)=2x+2x+12+3x-4

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Solution for 6(x+2)=2x+2x+12+3x-4 equation: 


Simplifying
6(x + 2) = 2x + 2x + 12 + 3x + -4

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

Reorder the terms:
12 + 6x = 12 + -4 + 2x + 2x + 3x

Combine like terms: 12 + -4 = 8
12 + 6x = 8 + 2x + 2x + 3x

Combine like terms: 2x + 2x = 4x
12 + 6x = 8 + 4x + 3x

Combine like terms: 4x + 3x = 7x
12 + 6x = 8 + 7x

Solving
12 + 6x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 6x + -7x = 8 + 7x + -7x

Combine like terms: 6x + -7x = -1x
12 + -1x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -1x = 8 + 0
12 + -1x = 8

Add '-12' to each side of the equation.
12 + -12 + -1x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 8 + -12
-1x = 8 + -12

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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