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

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


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

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

Reorder the terms:
12 + 3x = -2(-5 + 5x) + x
12 + 3x = (-5 * -2 + 5x * -2) + x
12 + 3x = (10 + -10x) + x

Combine like terms: -10x + x = -9x
12 + 3x = 10 + -9x

Solving
12 + 3x = 10 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
12 + 3x + 9x = 10 + -9x + 9x

Combine like terms: 3x + 9x = 12x
12 + 12x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
12 + 12x = 10 + 0
12 + 12x = 10

Add '-12' to each side of the equation.
12 + -12 + 12x = 10 + -12

Combine like terms: 12 + -12 = 0
0 + 12x = 10 + -12
12x = 10 + -12

Combine like terms: 10 + -12 = -2
12x = -2

Divide each side by '12'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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