x*9-216=x*2-6

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Solution for x*9-216=x*2-6 equation:


Simplifying
x * 9 + -216 = x * 2 + -6

Reorder the terms for easier multiplication:
9x + -216 = x * 2 + -6

Reorder the terms:
-216 + 9x = x * 2 + -6

Reorder the terms for easier multiplication:
-216 + 9x = 2x + -6

Reorder the terms:
-216 + 9x = -6 + 2x

Solving
-216 + 9x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-216 + 9x + -2x = -6 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-216 + 7x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-216 + 7x = -6 + 0
-216 + 7x = -6

Add '216' to each side of the equation.
-216 + 216 + 7x = -6 + 216

Combine like terms: -216 + 216 = 0
0 + 7x = -6 + 216
7x = -6 + 216

Combine like terms: -6 + 216 = 210
7x = 210

Divide each side by '7'.
x = 30

Simplifying
x = 30

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