3x+216=13x-14

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Solution for 3x+216=13x-14 equation:


Simplifying
3x + 216 = 13x + -14

Reorder the terms:
216 + 3x = 13x + -14

Reorder the terms:
216 + 3x = -14 + 13x

Solving
216 + 3x = -14 + 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.
216 + 3x + -13x = -14 + 13x + -13x

Combine like terms: 3x + -13x = -10x
216 + -10x = -14 + 13x + -13x

Combine like terms: 13x + -13x = 0
216 + -10x = -14 + 0
216 + -10x = -14

Add '-216' to each side of the equation.
216 + -216 + -10x = -14 + -216

Combine like terms: 216 + -216 = 0
0 + -10x = -14 + -216
-10x = -14 + -216

Combine like terms: -14 + -216 = -230
-10x = -230

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

Simplifying
x = 23

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