2(x-5)=8-x

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


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

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

Solving
-10 + 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.
-10 + 2x + x = 8 + -1x + x

Combine like terms: 2x + x = 3x
-10 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
-10 + 3x = 8 + 0
-10 + 3x = 8

Add '10' to each side of the equation.
-10 + 10 + 3x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 8 + 10
3x = 8 + 10

Combine like terms: 8 + 10 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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