-5(x-1)=(4x+2)*3

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Solution for -5(x-1)=(4x+2)*3 equation:


Simplifying
-5(x + -1) = (4x + 2) * 3

Reorder the terms:
-5(-1 + x) = (4x + 2) * 3
(-1 * -5 + x * -5) = (4x + 2) * 3
(5 + -5x) = (4x + 2) * 3

Reorder the terms:
5 + -5x = (2 + 4x) * 3

Reorder the terms for easier multiplication:
5 + -5x = 3(2 + 4x)
5 + -5x = (2 * 3 + 4x * 3)
5 + -5x = (6 + 12x)

Solving
5 + -5x = 6 + 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 + -5x + -12x = 6 + 12x + -12x

Combine like terms: -5x + -12x = -17x
5 + -17x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -17x = 6 + 0
5 + -17x = 6

Add '-5' to each side of the equation.
5 + -5 + -17x = 6 + -5

Combine like terms: 5 + -5 = 0
0 + -17x = 6 + -5
-17x = 6 + -5

Combine like terms: 6 + -5 = 1
-17x = 1

Divide each side by '-17'.
x = -0.05882352941

Simplifying
x = -0.05882352941

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