(10x-10)+30=(12x-4)

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Solution for (10x-10)+30=(12x-4) equation:


Simplifying
(10x + -10) + 30 = (12x + -4)

Reorder the terms:
(-10 + 10x) + 30 = (12x + -4)

Remove parenthesis around (-10 + 10x)
-10 + 10x + 30 = (12x + -4)

Reorder the terms:
-10 + 30 + 10x = (12x + -4)

Combine like terms: -10 + 30 = 20
20 + 10x = (12x + -4)

Reorder the terms:
20 + 10x = (-4 + 12x)

Remove parenthesis around (-4 + 12x)
20 + 10x = -4 + 12x

Solving
20 + 10x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 10x + -12x = -4 + 12x + -12x

Combine like terms: 10x + -12x = -2x
20 + -2x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -2x = -4 + 0
20 + -2x = -4

Add '-20' to each side of the equation.
20 + -20 + -2x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -4 + -20
-2x = -4 + -20

Combine like terms: -4 + -20 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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