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

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


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

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

Combine like terms: 2x + -3x = -1x
-2 + -1x = 3(x + -6)

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

Solving
-2 + -1x = -18 + 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.
-2 + -1x + -3x = -18 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-2 + -4x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -4x = -18 + 0
-2 + -4x = -18

Add '2' to each side of the equation.
-2 + 2 + -4x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -18 + 2
-4x = -18 + 2

Combine like terms: -18 + 2 = -16
-4x = -16

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

Simplifying
x = 4

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