2*(x+1)+15x=-1*(3x-17)+5x

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Solution for 2*(x+1)+15x=-1*(3x-17)+5x equation: 


Simplifying
2(x + 1) + 15x = -1(3x + -17) + 5x

Reorder the terms:
2(1 + x) + 15x = -1(3x + -17) + 5x
(1 * 2 + x * 2) + 15x = -1(3x + -17) + 5x
(2 + 2x) + 15x = -1(3x + -17) + 5x

Combine like terms: 2x + 15x = 17x
2 + 17x = -1(3x + -17) + 5x

Reorder the terms:
2 + 17x = -1(-17 + 3x) + 5x
2 + 17x = (-17 * -1 + 3x * -1) + 5x
2 + 17x = (17 + -3x) + 5x

Combine like terms: -3x + 5x = 2x
2 + 17x = 17 + 2x

Solving
2 + 17x = 17 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '15'.
x = 1

Simplifying
x = 1

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