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

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


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

Reorder the terms:
-3(-6 + x) = 2(x + -1)
(-6 * -3 + x * -3) = 2(x + -1)
(18 + -3x) = 2(x + -1)

Reorder the terms:
18 + -3x = 2(-1 + x)
18 + -3x = (-1 * 2 + x * 2)
18 + -3x = (-2 + 2x)

Solving
18 + -3x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
18 + -3x + -2x = -2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
18 + -5x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -5x = -2 + 0
18 + -5x = -2

Add '-18' to each side of the equation.
18 + -18 + -5x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -2 + -18
-5x = -2 + -18

Combine like terms: -2 + -18 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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