3x+209=11x-7

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Solution for 3x+209=11x-7 equation:


Simplifying
3x + 209 = 11x + -7

Reorder the terms:
209 + 3x = 11x + -7

Reorder the terms:
209 + 3x = -7 + 11x

Solving
209 + 3x = -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 + 3x + -11x = -7 + 11x + -11x

Combine like terms: 3x + -11x = -8x
209 + -8x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
209 + -8x = -7 + 0
209 + -8x = -7

Add '-209' to each side of the equation.
209 + -209 + -8x = -7 + -209

Combine like terms: 209 + -209 = 0
0 + -8x = -7 + -209
-8x = -7 + -209

Combine like terms: -7 + -209 = -216
-8x = -216

Divide each side by '-8'.
x = 27

Simplifying
x = 27

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