2x+178=9x-11

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Solution for 2x+178=9x-11 equation:


Simplifying
2x + 178 = 9x + -11

Reorder the terms:
178 + 2x = 9x + -11

Reorder the terms:
178 + 2x = -11 + 9x

Solving
178 + 2x = -11 + 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.
178 + 2x + -9x = -11 + 9x + -9x

Combine like terms: 2x + -9x = -7x
178 + -7x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
178 + -7x = -11 + 0
178 + -7x = -11

Add '-178' to each side of the equation.
178 + -178 + -7x = -11 + -178

Combine like terms: 178 + -178 = 0
0 + -7x = -11 + -178
-7x = -11 + -178

Combine like terms: -11 + -178 = -189
-7x = -189

Divide each side by '-7'.
x = 27

Simplifying
x = 27

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