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

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


Simplifying
(4x + 4) + (5x + -3) + 17 = 3x

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

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

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

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

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

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

Combine like terms: 1 + 17 = 18
18 + 4x + 5x = 3x

Combine like terms: 4x + 5x = 9x
18 + 9x = 3x

Solving
18 + 9x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + 9x + -3x = 3x + -3x

Combine like terms: 9x + -3x = 6x
18 + 6x = 3x + -3x

Combine like terms: 3x + -3x = 0
18 + 6x = 0

Add '-18' to each side of the equation.
18 + -18 + 6x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = 0 + -18
6x = 0 + -18

Combine like terms: 0 + -18 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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