5(x-2)=8-x

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


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

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

Solving
-10 + 5x = 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 + 5x + x = 8 + -1x + x

Combine like terms: 5x + x = 6x
-10 + 6x = 8 + -1x + x

Combine like terms: -1x + x = 0
-10 + 6x = 8 + 0
-10 + 6x = 8

Add '10' to each side of the equation.
-10 + 10 + 6x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = 8 + 10
6x = 8 + 10

Combine like terms: 8 + 10 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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