3(4x+2)=8-(2x+12)+(x-3)

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Solution for 3(4x+2)=8-(2x+12)+(x-3) equation:


Simplifying
3(4x + 2) = 8 + -1(2x + 12) + (x + -3)

Reorder the terms:
3(2 + 4x) = 8 + -1(2x + 12) + (x + -3)
(2 * 3 + 4x * 3) = 8 + -1(2x + 12) + (x + -3)
(6 + 12x) = 8 + -1(2x + 12) + (x + -3)

Reorder the terms:
6 + 12x = 8 + -1(12 + 2x) + (x + -3)
6 + 12x = 8 + (12 * -1 + 2x * -1) + (x + -3)
6 + 12x = 8 + (-12 + -2x) + (x + -3)

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

Remove parenthesis around (-3 + x)
6 + 12x = 8 + -12 + -2x + -3 + x

Reorder the terms:
6 + 12x = 8 + -12 + -3 + -2x + x

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

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

Combine like terms: -2x + x = -1x
6 + 12x = -7 + -1x

Solving
6 + 12x = -7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 12x + x = -7 + -1x + x

Combine like terms: 12x + x = 13x
6 + 13x = -7 + -1x + x

Combine like terms: -1x + x = 0
6 + 13x = -7 + 0
6 + 13x = -7

Add '-6' to each side of the equation.
6 + -6 + 13x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = -7 + -6
13x = -7 + -6

Combine like terms: -7 + -6 = -13
13x = -13

Divide each side by '13'.
x = -1

Simplifying
x = -1

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