0.5*(2x+10)=13-x

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Solution for 0.5*(2x+10)=13-x equation: 


Simplifying
0.5(2x + 10) = 13 + -1x

Reorder the terms:
0.5(10 + 2x) = 13 + -1x
(10 * 0.5 + 2x * 0.5) = 13 + -1x
(5 + 1x) = 13 + -1x

Solving
5 + 1x = 13 + -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.
5 + 1x + x = 13 + -1x + x

Combine like terms: 1x + x = 2x
5 + 2x = 13 + -1x + x

Combine like terms: -1x + x = 0
5 + 2x = 13 + 0
5 + 2x = 13

Add '-5' to each side of the equation.
5 + -5 + 2x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 13 + -5
2x = 13 + -5

Combine like terms: 13 + -5 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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