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

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


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

Reorder the terms:
3(-2 + x) + -1(x + -3) = 12
(-2 * 3 + x * 3) + -1(x + -3) = 12
(-6 + 3x) + -1(x + -3) = 12

Reorder the terms:
-6 + 3x + -1(-3 + x) = 12
-6 + 3x + (-3 * -1 + x * -1) = 12
-6 + 3x + (3 + -1x) = 12

Reorder the terms:
-6 + 3 + 3x + -1x = 12

Combine like terms: -6 + 3 = -3
-3 + 3x + -1x = 12

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

Solving
-3 + 2x = 12

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 12 + 3
2x = 12 + 3

Combine like terms: 12 + 3 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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