3(-3x-1)=-8(x-1)

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


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

Reorder the terms:
3(-1 + -3x) = -8(x + -1)
(-1 * 3 + -3x * 3) = -8(x + -1)
(-3 + -9x) = -8(x + -1)

Reorder the terms:
-3 + -9x = -8(-1 + x)
-3 + -9x = (-1 * -8 + x * -8)
-3 + -9x = (8 + -8x)

Solving
-3 + -9x = 8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + -9x + 8x = 8 + -8x + 8x

Combine like terms: -9x + 8x = -1x
-3 + -1x = 8 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + -1x = 8 + 0
-3 + -1x = 8

Add '3' to each side of the equation.
-3 + 3 + -1x = 8 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 8 + 3
-1x = 8 + 3

Combine like terms: 8 + 3 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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