5x-4+7x+5x+3x+2=3x-2-7+2x-8

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Solution for 5x-4+7x+5x+3x+2=3x-2-7+2x-8 equation:


Simplifying
5x + -4 + 7x + 5x + 3x + 2 = 3x + -2 + -7 + 2x + -8

Reorder the terms:
-4 + 2 + 5x + 7x + 5x + 3x = 3x + -2 + -7 + 2x + -8

Combine like terms: -4 + 2 = -2
-2 + 5x + 7x + 5x + 3x = 3x + -2 + -7 + 2x + -8

Combine like terms: 5x + 7x = 12x
-2 + 12x + 5x + 3x = 3x + -2 + -7 + 2x + -8

Combine like terms: 12x + 5x = 17x
-2 + 17x + 3x = 3x + -2 + -7 + 2x + -8

Combine like terms: 17x + 3x = 20x
-2 + 20x = 3x + -2 + -7 + 2x + -8

Reorder the terms:
-2 + 20x = -2 + -7 + -8 + 3x + 2x

Combine like terms: -2 + -7 = -9
-2 + 20x = -9 + -8 + 3x + 2x

Combine like terms: -9 + -8 = -17
-2 + 20x = -17 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-2 + 20x = -17 + 5x

Solving
-2 + 20x = -17 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 20x + -5x = -17 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-2 + 15x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 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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