3x+218=13x-12

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Solution for 3x+218=13x-12 equation:


Simplifying
3x + 218 = 13x + -12

Reorder the terms:
218 + 3x = 13x + -12

Reorder the terms:
218 + 3x = -12 + 13x

Solving
218 + 3x = -12 + 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.
218 + 3x + -13x = -12 + 13x + -13x

Combine like terms: 3x + -13x = -10x
218 + -10x = -12 + 13x + -13x

Combine like terms: 13x + -13x = 0
218 + -10x = -12 + 0
218 + -10x = -12

Add '-218' to each side of the equation.
218 + -218 + -10x = -12 + -218

Combine like terms: 218 + -218 = 0
0 + -10x = -12 + -218
-10x = -12 + -218

Combine like terms: -12 + -218 = -230
-10x = -230

Divide each side by '-10'.
x = 23

Simplifying
x = 23

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