6x+30+x-10=11x-12

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Solution for 6x+30+x-10=11x-12 equation:


Simplifying
6x + 30 + x + -10 = 11x + -12

Reorder the terms:
30 + -10 + 6x + x = 11x + -12

Combine like terms: 30 + -10 = 20
20 + 6x + x = 11x + -12

Combine like terms: 6x + x = 7x
20 + 7x = 11x + -12

Reorder the terms:
20 + 7x = -12 + 11x

Solving
20 + 7x = -12 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
20 + 7x + -11x = -12 + 11x + -11x

Combine like terms: 7x + -11x = -4x
20 + -4x = -12 + 11x + -11x

Combine like terms: 11x + -11x = 0
20 + -4x = -12 + 0
20 + -4x = -12

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

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

Combine like terms: -12 + -20 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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