6x-12+8x=5x-20-10

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Solution for 6x-12+8x=5x-20-10 equation:


Simplifying
6x + -12 + 8x = 5x + -20 + -10

Reorder the terms:
-12 + 6x + 8x = 5x + -20 + -10

Combine like terms: 6x + 8x = 14x
-12 + 14x = 5x + -20 + -10

Reorder the terms:
-12 + 14x = -20 + -10 + 5x

Combine like terms: -20 + -10 = -30
-12 + 14x = -30 + 5x

Solving
-12 + 14x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 14x + -5x = -30 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-12 + 9x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 9x = -30 + 0
-12 + 9x = -30

Add '12' to each side of the equation.
-12 + 12 + 9x = -30 + 12

Combine like terms: -12 + 12 = 0
0 + 9x = -30 + 12
9x = -30 + 12

Combine like terms: -30 + 12 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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