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

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


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

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

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

Combine like terms: x + -2x = -1x
3x + -2(6 + -1x) = 3
3x + (6 * -2 + -1x * -2) = 3
3x + (-12 + 2x) = 3

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

Combine like terms: 3x + 2x = 5x
-12 + 5x = 3

Solving
-12 + 5x = 3

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 5x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 3 + 12
5x = 3 + 12

Combine like terms: 3 + 12 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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