4x+209=14x-11

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Solution for 4x+209=14x-11 equation:


Simplifying
4x + 209 = 14x + -11

Reorder the terms:
209 + 4x = 14x + -11

Reorder the terms:
209 + 4x = -11 + 14x

Solving
209 + 4x = -11 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
209 + 4x + -14x = -11 + 14x + -14x

Combine like terms: 4x + -14x = -10x
209 + -10x = -11 + 14x + -14x

Combine like terms: 14x + -14x = 0
209 + -10x = -11 + 0
209 + -10x = -11

Add '-209' to each side of the equation.
209 + -209 + -10x = -11 + -209

Combine like terms: 209 + -209 = 0
0 + -10x = -11 + -209
-10x = -11 + -209

Combine like terms: -11 + -209 = -220
-10x = -220

Divide each side by '-10'.
x = 22

Simplifying
x = 22

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