x*2+97=x*9-8

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Solution for x*2+97=x*9-8 equation:


Simplifying
x * 2 + 97 = x * 9 + -8

Reorder the terms for easier multiplication:
2x + 97 = x * 9 + -8

Reorder the terms:
97 + 2x = x * 9 + -8

Reorder the terms for easier multiplication:
97 + 2x = 9x + -8

Reorder the terms:
97 + 2x = -8 + 9x

Solving
97 + 2x = -8 + 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.
97 + 2x + -9x = -8 + 9x + -9x

Combine like terms: 2x + -9x = -7x
97 + -7x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
97 + -7x = -8 + 0
97 + -7x = -8

Add '-97' to each side of the equation.
97 + -97 + -7x = -8 + -97

Combine like terms: 97 + -97 = 0
0 + -7x = -8 + -97
-7x = -8 + -97

Combine like terms: -8 + -97 = -105
-7x = -105

Divide each side by '-7'.
x = 15

Simplifying
x = 15

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