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

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


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

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

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

Combine like terms: -6 + -3 = -9
-9 + 2x = x + -2

Reorder the terms:
-9 + 2x = -2 + x

Solving
-9 + 2x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 2x + -1x = -2 + x + -1x

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

Combine like terms: x + -1x = 0
-9 + 1x = -2 + 0
-9 + 1x = -2

Add '9' to each side of the equation.
-9 + 9 + 1x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -2 + 9
1x = -2 + 9

Combine like terms: -2 + 9 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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