2x+218=10x-14

Solution for 2x+218=10x-14 equation:

Simplifying
2x + 218 = 10x + -14

Reorder the terms:
218 + 2x = 10x + -14

Reorder the terms:
218 + 2x = -14 + 10x

Solving
218 + 2x = -14 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
218 + 2x + -10x = -14 + 10x + -10x

Combine like terms: 2x + -10x = -8x
218 + -8x = -14 + 10x + -10x

Combine like terms: 10x + -10x = 0
218 + -8x = -14 + 0
218 + -8x = -14

Add '-218' to each side of the equation.
218 + -218 + -8x = -14 + -218

Combine like terms: 218 + -218 = 0
0 + -8x = -14 + -218
-8x = -14 + -218

Combine like terms: -14 + -218 = -232
-8x = -232

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

Simplifying
x = 29