2(x-5)=x+8

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


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

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

Reorder the terms:
-10 + 2x = 8 + x

Solving
-10 + 2x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 2x + -1x = 8 + x + -1x

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

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

Add '10' to each side of the equation.
-10 + 10 + 1x = 8 + 10

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

Combine like terms: 8 + 10 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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