5-2(x-3)=8-x

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Solution for 5-2(x-3)=8-x equation:


Simplifying
5 + -2(x + -3) = 8 + -1x

Reorder the terms:
5 + -2(-3 + x) = 8 + -1x
5 + (-3 * -2 + x * -2) = 8 + -1x
5 + (6 + -2x) = 8 + -1x

Combine like terms: 5 + 6 = 11
11 + -2x = 8 + -1x

Solving
11 + -2x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + -2x + x = 8 + -1x + x

Combine like terms: -2x + x = -1x
11 + -1x = 8 + -1x + x

Combine like terms: -1x + x = 0
11 + -1x = 8 + 0
11 + -1x = 8

Add '-11' to each side of the equation.
11 + -11 + -1x = 8 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 8 + -11
-1x = 8 + -11

Combine like terms: 8 + -11 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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