3(-x+1)-3=-6+8(-2x-6)

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Solution for 3(-x+1)-3=-6+8(-2x-6) equation:


Simplifying
3(-1x + 1) + -3 = -6 + 8(-2x + -6)

Reorder the terms:
3(1 + -1x) + -3 = -6 + 8(-2x + -6)
(1 * 3 + -1x * 3) + -3 = -6 + 8(-2x + -6)
(3 + -3x) + -3 = -6 + 8(-2x + -6)

Reorder the terms:
3 + -3 + -3x = -6 + 8(-2x + -6)

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + 8(-2x + -6)
-3x = -6 + 8(-2x + -6)

Reorder the terms:
-3x = -6 + 8(-6 + -2x)
-3x = -6 + (-6 * 8 + -2x * 8)
-3x = -6 + (-48 + -16x)

Combine like terms: -6 + -48 = -54
-3x = -54 + -16x

Solving
-3x = -54 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-3x + 16x = -54 + -16x + 16x

Combine like terms: -3x + 16x = 13x
13x = -54 + -16x + 16x

Combine like terms: -16x + 16x = 0
13x = -54 + 0
13x = -54

Divide each side by '13'.
x = -4.153846154

Simplifying
x = -4.153846154

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