x*9-85=x*3-7

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Solution for x*9-85=x*3-7 equation:


Simplifying
x * 9 + -85 = x * 3 + -7

Reorder the terms for easier multiplication:
9x + -85 = x * 3 + -7

Reorder the terms:
-85 + 9x = x * 3 + -7

Reorder the terms for easier multiplication:
-85 + 9x = 3x + -7

Reorder the terms:
-85 + 9x = -7 + 3x

Solving
-85 + 9x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-85 + 9x + -3x = -7 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-85 + 6x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-85 + 6x = -7 + 0
-85 + 6x = -7

Add '85' to each side of the equation.
-85 + 85 + 6x = -7 + 85

Combine like terms: -85 + 85 = 0
0 + 6x = -7 + 85
6x = -7 + 85

Combine like terms: -7 + 85 = 78
6x = 78

Divide each side by '6'.
x = 13

Simplifying
x = 13

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