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

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


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

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

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

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

Combine like terms: 12 + 8 = 20
12 + 3x = 20 + 2x

Solving
12 + 3x = 20 + 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.
12 + 3x + -2x = 20 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x = 20 + 0
12 + 1x = 20

Add '-12' to each side of the equation.
12 + -12 + 1x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 20 + -12
1x = 20 + -12

Combine like terms: 20 + -12 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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