2x+209=11x-7

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Solution for 2x+209=11x-7 equation:


Simplifying
2x + 209 = 11x + -7

Reorder the terms:
209 + 2x = 11x + -7

Reorder the terms:
209 + 2x = -7 + 11x

Solving
209 + 2x = -7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
209 + 2x + -11x = -7 + 11x + -11x

Combine like terms: 2x + -11x = -9x
209 + -9x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
209 + -9x = -7 + 0
209 + -9x = -7

Add '-209' to each side of the equation.
209 + -209 + -9x = -7 + -209

Combine like terms: 209 + -209 = 0
0 + -9x = -7 + -209
-9x = -7 + -209

Combine like terms: -7 + -209 = -216
-9x = -216

Divide each side by '-9'.
x = 24

Simplifying
x = 24

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