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

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


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

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

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

Combine like terms: -6 + -3 = -9
-9 + 3x + 1x = 3

Combine like terms: 3x + 1x = 4x
-9 + 4x = 3

Solving
-9 + 4x = 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 + 4x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 3 + 9
4x = 3 + 9

Combine like terms: 3 + 9 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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