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

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Solution for 6(x+3)-3(x-4)+2x=17+3-5 equation: 


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

Reorder the terms:
6(3 + x) + -3(x + -4) + 2x = 17 + 3 + -5
(3 * 6 + x * 6) + -3(x + -4) + 2x = 17 + 3 + -5
(18 + 6x) + -3(x + -4) + 2x = 17 + 3 + -5

Reorder the terms:
18 + 6x + -3(-4 + x) + 2x = 17 + 3 + -5
18 + 6x + (-4 * -3 + x * -3) + 2x = 17 + 3 + -5
18 + 6x + (12 + -3x) + 2x = 17 + 3 + -5

Reorder the terms:
18 + 12 + 6x + -3x + 2x = 17 + 3 + -5

Combine like terms: 18 + 12 = 30
30 + 6x + -3x + 2x = 17 + 3 + -5

Combine like terms: 6x + -3x = 3x
30 + 3x + 2x = 17 + 3 + -5

Combine like terms: 3x + 2x = 5x
30 + 5x = 17 + 3 + -5

Combine like terms: 17 + 3 = 20
30 + 5x = 20 + -5

Combine like terms: 20 + -5 = 15
30 + 5x = 15

Solving
30 + 5x = 15

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 5x = 15 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 15 + -30
5x = 15 + -30

Combine like terms: 15 + -30 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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