x*4+184=x*13-14

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Solution for x*4+184=x*13-14 equation:


Simplifying
x * 4 + 184 = x * 13 + -14

Reorder the terms for easier multiplication:
4x + 184 = x * 13 + -14

Reorder the terms:
184 + 4x = x * 13 + -14

Reorder the terms for easier multiplication:
184 + 4x = 13x + -14

Reorder the terms:
184 + 4x = -14 + 13x

Solving
184 + 4x = -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.
184 + 4x + -13x = -14 + 13x + -13x

Combine like terms: 4x + -13x = -9x
184 + -9x = -14 + 13x + -13x

Combine like terms: 13x + -13x = 0
184 + -9x = -14 + 0
184 + -9x = -14

Add '-184' to each side of the equation.
184 + -184 + -9x = -14 + -184

Combine like terms: 184 + -184 = 0
0 + -9x = -14 + -184
-9x = -14 + -184

Combine like terms: -14 + -184 = -198
-9x = -198

Divide each side by '-9'.
x = 22

Simplifying
x = 22

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