3(4x+1)-4x+1=2x-20

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Solution for 3(4x+1)-4x+1=2x-20 equation: 


Simplifying
3(4x + 1) + -4x + 1 = 2x + -20

Reorder the terms:
3(1 + 4x) + -4x + 1 = 2x + -20
(1 * 3 + 4x * 3) + -4x + 1 = 2x + -20
(3 + 12x) + -4x + 1 = 2x + -20

Reorder the terms:
3 + 1 + 12x + -4x = 2x + -20

Combine like terms: 3 + 1 = 4
4 + 12x + -4x = 2x + -20

Combine like terms: 12x + -4x = 8x
4 + 8x = 2x + -20

Reorder the terms:
4 + 8x = -20 + 2x

Solving
4 + 8x = -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.
4 + 8x + -2x = -20 + 2x + -2x

Combine like terms: 8x + -2x = 6x
4 + 6x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 6x = -20 + 0
4 + 6x = -20

Add '-4' to each side of the equation.
4 + -4 + 6x = -20 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = -20 + -4
6x = -20 + -4

Combine like terms: -20 + -4 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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