12x-283=3x-13

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Solution for 12x-283=3x-13 equation:


Simplifying
12x + -283 = 3x + -13

Reorder the terms:
-283 + 12x = 3x + -13

Reorder the terms:
-283 + 12x = -13 + 3x

Solving
-283 + 12x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-283 + 12x + -3x = -13 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-283 + 9x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-283 + 9x = -13 + 0
-283 + 9x = -13

Add '283' to each side of the equation.
-283 + 283 + 9x = -13 + 283

Combine like terms: -283 + 283 = 0
0 + 9x = -13 + 283
9x = -13 + 283

Combine like terms: -13 + 283 = 270
9x = 270

Divide each side by '9'.
x = 30

Simplifying
x = 30

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