-3(x-1)=-8x-42

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Solution for -3(x-1)=-8x-42 equation:


Simplifying
-3(x + -1) = -8x + -42

Reorder the terms:
-3(-1 + x) = -8x + -42
(-1 * -3 + x * -3) = -8x + -42
(3 + -3x) = -8x + -42

Reorder the terms:
3 + -3x = -42 + -8x

Solving
3 + -3x = -42 + -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 + -3x + 8x = -42 + -8x + 8x

Combine like terms: -3x + 8x = 5x
3 + 5x = -42 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 5x = -42 + 0
3 + 5x = -42

Add '-3' to each side of the equation.
3 + -3 + 5x = -42 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = -42 + -3
5x = -42 + -3

Combine like terms: -42 + -3 = -45
5x = -45

Divide each side by '5'.
x = -9

Simplifying
x = -9

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