10x-85=8x+13

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Solution for 10x-85=8x+13 equation:


Simplifying
10x + -85 = 8x + 13

Reorder the terms:
-85 + 10x = 8x + 13

Reorder the terms:
-85 + 10x = 13 + 8x

Solving
-85 + 10x = 13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-85 + 10x + -8x = 13 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-85 + 2x = 13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-85 + 2x = 13 + 0
-85 + 2x = 13

Add '85' to each side of the equation.
-85 + 85 + 2x = 13 + 85

Combine like terms: -85 + 85 = 0
0 + 2x = 13 + 85
2x = 13 + 85

Combine like terms: 13 + 85 = 98
2x = 98

Divide each side by '2'.
x = 49

Simplifying
x = 49

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