x*2+84=x*9-7

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Solution for x*2+84=x*9-7 equation:


Simplifying
x * 2 + 84 = x * 9 + -7

Reorder the terms for easier multiplication:
2x + 84 = x * 9 + -7

Reorder the terms:
84 + 2x = x * 9 + -7

Reorder the terms for easier multiplication:
84 + 2x = 9x + -7

Reorder the terms:
84 + 2x = -7 + 9x

Solving
84 + 2x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
84 + 2x + -9x = -7 + 9x + -9x

Combine like terms: 2x + -9x = -7x
84 + -7x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
84 + -7x = -7 + 0
84 + -7x = -7

Add '-84' to each side of the equation.
84 + -84 + -7x = -7 + -84

Combine like terms: 84 + -84 = 0
0 + -7x = -7 + -84
-7x = -7 + -84

Combine like terms: -7 + -84 = -91
-7x = -91

Divide each side by '-7'.
x = 13

Simplifying
x = 13

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