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

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Solution for 12x+4=3(4x+1)-x+8 equation:


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

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

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

Reorder the terms:
4 + 12x = 3 + 8 + 12x + -1x

Combine like terms: 3 + 8 = 11
4 + 12x = 11 + 12x + -1x

Combine like terms: 12x + -1x = 11x
4 + 12x = 11 + 11x

Solving
4 + 12x = 11 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
4 + 12x + -11x = 11 + 11x + -11x

Combine like terms: 12x + -11x = 1x
4 + 1x = 11 + 11x + -11x

Combine like terms: 11x + -11x = 0
4 + 1x = 11 + 0
4 + 1x = 11

Add '-4' to each side of the equation.
4 + -4 + 1x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 11 + -4
1x = 11 + -4

Combine like terms: 11 + -4 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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