13x-284=4x-14

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Solution for 13x-284=4x-14 equation:


Simplifying
13x + -284 = 4x + -14

Reorder the terms:
-284 + 13x = 4x + -14

Reorder the terms:
-284 + 13x = -14 + 4x

Solving
-284 + 13x = -14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-284 + 13x + -4x = -14 + 4x + -4x

Combine like terms: 13x + -4x = 9x
-284 + 9x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
-284 + 9x = -14 + 0
-284 + 9x = -14

Add '284' to each side of the equation.
-284 + 284 + 9x = -14 + 284

Combine like terms: -284 + 284 = 0
0 + 9x = -14 + 284
9x = -14 + 284

Combine like terms: -14 + 284 = 270
9x = 270

Divide each side by '9'.
x = 30

Simplifying
x = 30

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