10-(2x-8)=5-3x

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Solution for 10-(2x-8)=5-3x equation:


Simplifying
10 + -1(2x + -8) = 5 + -3x

Reorder the terms:
10 + -1(-8 + 2x) = 5 + -3x
10 + (-8 * -1 + 2x * -1) = 5 + -3x
10 + (8 + -2x) = 5 + -3x

Combine like terms: 10 + 8 = 18
18 + -2x = 5 + -3x

Solving
18 + -2x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
18 + -2x + 3x = 5 + -3x + 3x

Combine like terms: -2x + 3x = 1x
18 + 1x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + 1x = 5 + 0
18 + 1x = 5

Add '-18' to each side of the equation.
18 + -18 + 1x = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 5 + -18
1x = 5 + -18

Combine like terms: 5 + -18 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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