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

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


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

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

Reorder the terms:
6 + -6x = -3(8 + x)
6 + -6x = (8 * -3 + x * -3)
6 + -6x = (-24 + -3x)

Solving
6 + -6x = -24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -6x + 3x = -24 + -3x + 3x

Combine like terms: -6x + 3x = -3x
6 + -3x = -24 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + -3x = -24 + 0
6 + -3x = -24

Add '-6' to each side of the equation.
6 + -6 + -3x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -24 + -6
-3x = -24 + -6

Combine like terms: -24 + -6 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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