3(10-2x)-12=-2(x-11)+4

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Solution for 3(10-2x)-12=-2(x-11)+4 equation: 


Simplifying
3(10 + -2x) + -12 = -2(x + -11) + 4
(10 * 3 + -2x * 3) + -12 = -2(x + -11) + 4
(30 + -6x) + -12 = -2(x + -11) + 4

Reorder the terms:
30 + -12 + -6x = -2(x + -11) + 4

Combine like terms: 30 + -12 = 18
18 + -6x = -2(x + -11) + 4

Reorder the terms:
18 + -6x = -2(-11 + x) + 4
18 + -6x = (-11 * -2 + x * -2) + 4
18 + -6x = (22 + -2x) + 4

Reorder the terms:
18 + -6x = 22 + 4 + -2x

Combine like terms: 22 + 4 = 26
18 + -6x = 26 + -2x

Solving
18 + -6x = 26 + -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 = 26 + -2x + 2x

Combine like terms: -6x + 2x = -4x
18 + -4x = 26 + -2x + 2x

Combine like terms: -2x + 2x = 0
18 + -4x = 26 + 0
18 + -4x = 26

Add '-18' to each side of the equation.
18 + -18 + -4x = 26 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 26 + -18
-4x = 26 + -18

Combine like terms: 26 + -18 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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