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

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


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

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

Combine like terms: 12x + -1x = 11x
4 + 11x = 3x + 20

Reorder the terms:
4 + 11x = 20 + 3x

Solving
4 + 11x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + 11x + -3x = 20 + 3x + -3x

Combine like terms: 11x + -3x = 8x
4 + 8x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 8x = 20 + 0
4 + 8x = 20

Add '-4' to each side of the equation.
4 + -4 + 8x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 20 + -4
8x = 20 + -4

Combine like terms: 20 + -4 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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