6x+78=10x-10

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


Simplifying
6x + 78 = 10x + -10

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

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

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

Combine like terms: 6x + -10x = -4x
78 + -4x = -10 + 10x + -10x

Combine like terms: 10x + -10x = 0
78 + -4x = -10 + 0
78 + -4x = -10

Add '-78' to each side of the equation.
78 + -78 + -4x = -10 + -78

Combine like terms: 78 + -78 = 0
0 + -4x = -10 + -78
-4x = -10 + -78

Combine like terms: -10 + -78 = -88
-4x = -88

Divide each side by '-4'.
x = 22

Simplifying
x = 22

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