3(x-8)=x+10

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


Simplifying
3(x + -8) = x + 10

Reorder the terms:
3(-8 + x) = x + 10
(-8 * 3 + x * 3) = x + 10
(-24 + 3x) = x + 10

Reorder the terms:
-24 + 3x = 10 + x

Solving
-24 + 3x = 10 + 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.
-24 + 3x + -1x = 10 + x + -1x

Combine like terms: 3x + -1x = 2x
-24 + 2x = 10 + x + -1x

Combine like terms: x + -1x = 0
-24 + 2x = 10 + 0
-24 + 2x = 10

Add '24' to each side of the equation.
-24 + 24 + 2x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = 10 + 24
2x = 10 + 24

Combine like terms: 10 + 24 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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