-(x+12)+7x=2(x+4)+3x

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Solution for -(x+12)+7x=2(x+4)+3x equation:


Simplifying
-1(x + 12) + 7x = 2(x + 4) + 3x

Reorder the terms:
-1(12 + x) + 7x = 2(x + 4) + 3x
(12 * -1 + x * -1) + 7x = 2(x + 4) + 3x
(-12 + -1x) + 7x = 2(x + 4) + 3x

Combine like terms: -1x + 7x = 6x
-12 + 6x = 2(x + 4) + 3x

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

Combine like terms: 2x + 3x = 5x
-12 + 6x = 8 + 5x

Solving
-12 + 6x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 6x + -5x = 8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-12 + 1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 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 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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