5x-3(x+6)+12=4+2(x-2)-(x-6)

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Solution for 5x-3(x+6)+12=4+2(x-2)-(x-6) equation: 


Simplifying
5x + -3(x + 6) + 12 = 4 + 2(x + -2) + -1(x + -6)

Reorder the terms:
5x + -3(6 + x) + 12 = 4 + 2(x + -2) + -1(x + -6)
5x + (6 * -3 + x * -3) + 12 = 4 + 2(x + -2) + -1(x + -6)
5x + (-18 + -3x) + 12 = 4 + 2(x + -2) + -1(x + -6)

Reorder the terms:
-18 + 12 + 5x + -3x = 4 + 2(x + -2) + -1(x + -6)

Combine like terms: -18 + 12 = -6
-6 + 5x + -3x = 4 + 2(x + -2) + -1(x + -6)

Combine like terms: 5x + -3x = 2x
-6 + 2x = 4 + 2(x + -2) + -1(x + -6)

Reorder the terms:
-6 + 2x = 4 + 2(-2 + x) + -1(x + -6)
-6 + 2x = 4 + (-2 * 2 + x * 2) + -1(x + -6)
-6 + 2x = 4 + (-4 + 2x) + -1(x + -6)

Reorder the terms:
-6 + 2x = 4 + -4 + 2x + -1(-6 + x)
-6 + 2x = 4 + -4 + 2x + (-6 * -1 + x * -1)
-6 + 2x = 4 + -4 + 2x + (6 + -1x)

Reorder the terms:
-6 + 2x = 4 + -4 + 6 + 2x + -1x

Combine like terms: 4 + -4 = 0
-6 + 2x = 0 + 6 + 2x + -1x
-6 + 2x = 6 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 2x = 6 + 1x

Solving
-6 + 2x = 6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x = 6 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = 6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

Add '6' to each side of the equation.
-6 + 6 + 1x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 6 + 6
1x = 6 + 6

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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