4x+218=13x-7

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Solution for 4x+218=13x-7 equation:


Simplifying
4x + 218 = 13x + -7

Reorder the terms:
218 + 4x = 13x + -7

Reorder the terms:
218 + 4x = -7 + 13x

Solving
218 + 4x = -7 + 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 + 4x + -13x = -7 + 13x + -13x

Combine like terms: 4x + -13x = -9x
218 + -9x = -7 + 13x + -13x

Combine like terms: 13x + -13x = 0
218 + -9x = -7 + 0
218 + -9x = -7

Add '-218' to each side of the equation.
218 + -218 + -9x = -7 + -218

Combine like terms: 218 + -218 = 0
0 + -9x = -7 + -218
-9x = -7 + -218

Combine like terms: -7 + -218 = -225
-9x = -225

Divide each side by '-9'.
x = 25

Simplifying
x = 25

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