(2x-12)-(x-3)=3

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Solution for (2x-12)-(x-3)=3 equation:


Simplifying
(2x + -12) + -1(x + -3) = 3

Reorder the terms:
(-12 + 2x) + -1(x + -3) = 3

Remove parenthesis around (-12 + 2x)
-12 + 2x + -1(x + -3) = 3

Reorder the terms:
-12 + 2x + -1(-3 + x) = 3
-12 + 2x + (-3 * -1 + x * -1) = 3
-12 + 2x + (3 + -1x) = 3

Reorder the terms:
-12 + 3 + 2x + -1x = 3

Combine like terms: -12 + 3 = -9
-9 + 2x + -1x = 3

Combine like terms: 2x + -1x = 1x
-9 + 1x = 3

Solving
-9 + 1x = 3

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 1x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 3 + 9
1x = 3 + 9

Combine like terms: 3 + 9 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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