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

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


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

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

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

Solving
18 + -6x = 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 + -6x + -2x = 2 + 2x + -2x

Combine like terms: -6x + -2x = -8x
18 + -8x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -8x = 2 + 0
18 + -8x = 2

Add '-18' to each side of the equation.
18 + -18 + -8x = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = 2 + -18
-8x = 2 + -18

Combine like terms: 2 + -18 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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