(x-3)-2(x-3)=-5

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Solution for (x-3)-2(x-3)=-5 equation:


Simplifying
(x + -3) + -2(x + -3) = -5

Reorder the terms:
(-3 + x) + -2(x + -3) = -5

Remove parenthesis around (-3 + x)
-3 + x + -2(x + -3) = -5

Reorder the terms:
-3 + x + -2(-3 + x) = -5
-3 + x + (-3 * -2 + x * -2) = -5
-3 + x + (6 + -2x) = -5

Reorder the terms:
-3 + 6 + x + -2x = -5

Combine like terms: -3 + 6 = 3
3 + x + -2x = -5

Combine like terms: x + -2x = -1x
3 + -1x = -5

Solving
3 + -1x = -5

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 + -1x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -5 + -3
-1x = -5 + -3

Combine like terms: -5 + -3 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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