(x-2)*9=x*7

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Solution for (x-2)*9=x*7 equation:


Simplifying
(x + -2) * 9 = x * 7

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

Reorder the terms for easier multiplication:
9(-2 + x) = x * 7
(-2 * 9 + x * 9) = x * 7
(-18 + 9x) = x * 7

Reorder the terms for easier multiplication:
-18 + 9x = 7x

Solving
-18 + 9x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-18 + 9x + -7x = 7x + -7x

Combine like terms: 9x + -7x = 2x
-18 + 2x = 7x + -7x

Combine like terms: 7x + -7x = 0
-18 + 2x = 0

Add '18' to each side of the equation.
-18 + 18 + 2x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 0 + 18
2x = 0 + 18

Combine like terms: 0 + 18 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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