3(x-1)=9x+7-4(-2x-2)

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Solution for 3(x-1)=9x+7-4(-2x-2) equation: 


Simplifying
3(x + -1) = 9x + 7 + -4(-2x + -2)

Reorder the terms:
3(-1 + x) = 9x + 7 + -4(-2x + -2)
(-1 * 3 + x * 3) = 9x + 7 + -4(-2x + -2)
(-3 + 3x) = 9x + 7 + -4(-2x + -2)

Reorder the terms:
-3 + 3x = 9x + 7 + -4(-2 + -2x)
-3 + 3x = 9x + 7 + (-2 * -4 + -2x * -4)
-3 + 3x = 9x + 7 + (8 + 8x)

Reorder the terms:
-3 + 3x = 7 + 8 + 9x + 8x

Combine like terms: 7 + 8 = 15
-3 + 3x = 15 + 9x + 8x

Combine like terms: 9x + 8x = 17x
-3 + 3x = 15 + 17x

Solving
-3 + 3x = 15 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-3 + 3x + -17x = 15 + 17x + -17x

Combine like terms: 3x + -17x = -14x
-3 + -14x = 15 + 17x + -17x

Combine like terms: 17x + -17x = 0
-3 + -14x = 15 + 0
-3 + -14x = 15

Add '3' to each side of the equation.
-3 + 3 + -14x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -14x = 15 + 3
-14x = 15 + 3

Combine like terms: 15 + 3 = 18
-14x = 18

Divide each side by '-14'.
x = -1.285714286

Simplifying
x = -1.285714286

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