5x+221=13x-11

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Solution for 5x+221=13x-11 equation:


Simplifying
5x + 221 = 13x + -11

Reorder the terms:
221 + 5x = 13x + -11

Reorder the terms:
221 + 5x = -11 + 13x

Solving
221 + 5x = -11 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
221 + 5x + -13x = -11 + 13x + -13x

Combine like terms: 5x + -13x = -8x
221 + -8x = -11 + 13x + -13x

Combine like terms: 13x + -13x = 0
221 + -8x = -11 + 0
221 + -8x = -11

Add '-221' to each side of the equation.
221 + -221 + -8x = -11 + -221

Combine like terms: 221 + -221 = 0
0 + -8x = -11 + -221
-8x = -11 + -221

Combine like terms: -11 + -221 = -232
-8x = -232

Divide each side by '-8'.
x = 29

Simplifying
x = 29

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