17x+3(8-5x)=3(13-x)+3x

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Solution for 17x+3(8-5x)=3(13-x)+3x equation: 


Simplifying
17x + 3(8 + -5x) = 3(13 + -1x) + 3x
17x + (8 * 3 + -5x * 3) = 3(13 + -1x) + 3x
17x + (24 + -15x) = 3(13 + -1x) + 3x

Reorder the terms:
24 + 17x + -15x = 3(13 + -1x) + 3x

Combine like terms: 17x + -15x = 2x
24 + 2x = 3(13 + -1x) + 3x
24 + 2x = (13 * 3 + -1x * 3) + 3x
24 + 2x = (39 + -3x) + 3x

Combine like terms: -3x + 3x = 0
24 + 2x = 39 + 0
24 + 2x = 39

Solving
24 + 2x = 39

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 2x = 39 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 39 + -24
2x = 39 + -24

Combine like terms: 39 + -24 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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