(4x+3)-(5x-2)+17x+5-x=0

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Solution for (4x+3)-(5x-2)+17x+5-x=0 equation:


Simplifying
(4x + 3) + -1(5x + -2) + 17x + 5 + -1x = 0

Reorder the terms:
(3 + 4x) + -1(5x + -2) + 17x + 5 + -1x = 0

Remove parenthesis around (3 + 4x)
3 + 4x + -1(5x + -2) + 17x + 5 + -1x = 0

Reorder the terms:
3 + 4x + -1(-2 + 5x) + 17x + 5 + -1x = 0
3 + 4x + (-2 * -1 + 5x * -1) + 17x + 5 + -1x = 0
3 + 4x + (2 + -5x) + 17x + 5 + -1x = 0

Reorder the terms:
3 + 2 + 5 + 4x + -5x + 17x + -1x = 0

Combine like terms: 3 + 2 = 5
5 + 5 + 4x + -5x + 17x + -1x = 0

Combine like terms: 5 + 5 = 10
10 + 4x + -5x + 17x + -1x = 0

Combine like terms: 4x + -5x = -1x
10 + -1x + 17x + -1x = 0

Combine like terms: -1x + 17x = 16x
10 + 16x + -1x = 0

Combine like terms: 16x + -1x = 15x
10 + 15x = 0

Solving
10 + 15x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 15x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 15x = 0 + -10
15x = 0 + -10

Combine like terms: 0 + -10 = -10
15x = -10

Divide each side by '15'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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