-2(-5x-3)-12(x-2)=10x-10x

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Solution for -2(-5x-3)-12(x-2)=10x-10x equation:


Simplifying
-2(-5x + -3) + -12(x + -2) = 10x + -10x

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

Reorder the terms:
6 + 10x + -12(-2 + x) = 10x + -10x
6 + 10x + (-2 * -12 + x * -12) = 10x + -10x
6 + 10x + (24 + -12x) = 10x + -10x

Reorder the terms:
6 + 24 + 10x + -12x = 10x + -10x

Combine like terms: 6 + 24 = 30
30 + 10x + -12x = 10x + -10x

Combine like terms: 10x + -12x = -2x
30 + -2x = 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -2x = 0

Solving
30 + -2x = 0

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + -2x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -2x = 0 + -30
-2x = 0 + -30

Combine like terms: 0 + -30 = -30
-2x = -30

Divide each side by '-2'.
x = 15

Simplifying
x = 15

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