5-(x-3)=6-2x

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Solution for 5-(x-3)=6-2x equation:


Simplifying
5 + -1(x + -3) = 6 + -2x

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

Combine like terms: 5 + 3 = 8
8 + -1x = 6 + -2x

Solving
8 + -1x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -1x + 2x = 6 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
8 + 1x = 6 + 0
8 + 1x = 6

Add '-8' to each side of the equation.
8 + -8 + 1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 6 + -8
1x = 6 + -8

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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