2x-6=10x-78

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Solution for 2x-6=10x-78 equation:


Simplifying
2x + -6 = 10x + -78

Reorder the terms:
-6 + 2x = 10x + -78

Reorder the terms:
-6 + 2x = -78 + 10x

Solving
-6 + 2x = -78 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + 2x + -10x = -78 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-6 + -8x = -78 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -8x = -78 + 0
-6 + -8x = -78

Add '6' to each side of the equation.
-6 + 6 + -8x = -78 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -78 + 6
-8x = -78 + 6

Combine like terms: -78 + 6 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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