x+5=3(4x-4)

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


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

Reorder the terms:
5 + x = 3(4x + -4)

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

Solving
5 + x = -12 + 12x

Solving for variable 'x'.

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

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

Combine like terms: x + -12x = -11x
5 + -11x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -11x = -12 + 0
5 + -11x = -12

Add '-5' to each side of the equation.
5 + -5 + -11x = -12 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = -12 + -5
-11x = -12 + -5

Combine like terms: -12 + -5 = -17
-11x = -17

Divide each side by '-11'.
x = 1.545454545

Simplifying
x = 1.545454545

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