3(x-5)=x+17

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Solution for 3(x-5)=x+17 equation: 


Simplifying
3(x + -5) = x + 17

Reorder the terms:
3(-5 + x) = x + 17
(-5 * 3 + x * 3) = x + 17
(-15 + 3x) = x + 17

Reorder the terms:
-15 + 3x = 17 + x

Solving
-15 + 3x = 17 + 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.
-15 + 3x + -1x = 17 + x + -1x

Combine like terms: 3x + -1x = 2x
-15 + 2x = 17 + x + -1x

Combine like terms: x + -1x = 0
-15 + 2x = 17 + 0
-15 + 2x = 17

Add '15' to each side of the equation.
-15 + 15 + 2x = 17 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 17 + 15
2x = 17 + 15

Combine like terms: 17 + 15 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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