2(x-7)-10=12-4x

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Solution for 2(x-7)-10=12-4x equation:


Simplifying
2(x + -7) + -10 = 12 + -4x

Reorder the terms:
2(-7 + x) + -10 = 12 + -4x
(-7 * 2 + x * 2) + -10 = 12 + -4x
(-14 + 2x) + -10 = 12 + -4x

Reorder the terms:
-14 + -10 + 2x = 12 + -4x

Combine like terms: -14 + -10 = -24
-24 + 2x = 12 + -4x

Solving
-24 + 2x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-24 + 2x + 4x = 12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-24 + 6x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 6x = 12 + 0
-24 + 6x = 12

Add '24' to each side of the equation.
-24 + 24 + 6x = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 6x = 12 + 24
6x = 12 + 24

Combine like terms: 12 + 24 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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