14x-282=5x-12

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Solution for 14x-282=5x-12 equation:


Simplifying
14x + -282 = 5x + -12

Reorder the terms:
-282 + 14x = 5x + -12

Reorder the terms:
-282 + 14x = -12 + 5x

Solving
-282 + 14x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-282 + 14x + -5x = -12 + 5x + -5x

Combine like terms: 14x + -5x = 9x
-282 + 9x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-282 + 9x = -12 + 0
-282 + 9x = -12

Add '282' to each side of the equation.
-282 + 282 + 9x = -12 + 282

Combine like terms: -282 + 282 = 0
0 + 9x = -12 + 282
9x = -12 + 282

Combine like terms: -12 + 282 = 270
9x = 270

Divide each side by '9'.
x = 30

Simplifying
x = 30

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