-2(x-5)+6(2x-3)=12

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Solution for -2(x-5)+6(2x-3)=12 equation: 


Simplifying
-2(x + -5) + 6(2x + -3) = 12

Reorder the terms:
-2(-5 + x) + 6(2x + -3) = 12
(-5 * -2 + x * -2) + 6(2x + -3) = 12
(10 + -2x) + 6(2x + -3) = 12

Reorder the terms:
10 + -2x + 6(-3 + 2x) = 12
10 + -2x + (-3 * 6 + 2x * 6) = 12
10 + -2x + (-18 + 12x) = 12

Reorder the terms:
10 + -18 + -2x + 12x = 12

Combine like terms: 10 + -18 = -8
-8 + -2x + 12x = 12

Combine like terms: -2x + 12x = 10x
-8 + 10x = 12

Solving
-8 + 10x = 12

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 10x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 12 + 8
10x = 12 + 8

Combine like terms: 12 + 8 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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