10x-78=5x-8

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Solution for 10x-78=5x-8 equation:


Simplifying
10x + -78 = 5x + -8

Reorder the terms:
-78 + 10x = 5x + -8

Reorder the terms:
-78 + 10x = -8 + 5x

Solving
-78 + 10x = -8 + 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.
-78 + 10x + -5x = -8 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-78 + 5x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-78 + 5x = -8 + 0
-78 + 5x = -8

Add '78' to each side of the equation.
-78 + 78 + 5x = -8 + 78

Combine like terms: -78 + 78 = 0
0 + 5x = -8 + 78
5x = -8 + 78

Combine like terms: -8 + 78 = 70
5x = 70

Divide each side by '5'.
x = 14

Simplifying
x = 14

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