3(4-x)=1+5(x-1)

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Solution for 3(4-x)=1+5(x-1) equation:


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

Reorder the terms:
12 + -3x = 1 + 5(-1 + x)
12 + -3x = 1 + (-1 * 5 + x * 5)
12 + -3x = 1 + (-5 + 5x)

Combine like terms: 1 + -5 = -4
12 + -3x = -4 + 5x

Solving
12 + -3x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -3x + -5x = -4 + 5x + -5x

Combine like terms: -3x + -5x = -8x
12 + -8x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -8x = -4 + 0
12 + -8x = -4

Add '-12' to each side of the equation.
12 + -12 + -8x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -4 + -12
-8x = -4 + -12

Combine like terms: -4 + -12 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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