(4x+5)+(7x-6)+(-8x+2)=0

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Solution for (4x+5)+(7x-6)+(-8x+2)=0 equation:


Simplifying
(4x + 5) + (7x + -6) + (-8x + 2) = 0

Reorder the terms:
(5 + 4x) + (7x + -6) + (-8x + 2) = 0

Remove parenthesis around (5 + 4x)
5 + 4x + (7x + -6) + (-8x + 2) = 0

Reorder the terms:
5 + 4x + (-6 + 7x) + (-8x + 2) = 0

Remove parenthesis around (-6 + 7x)
5 + 4x + -6 + 7x + (-8x + 2) = 0

Reorder the terms:
5 + 4x + -6 + 7x + (2 + -8x) = 0

Remove parenthesis around (2 + -8x)
5 + 4x + -6 + 7x + 2 + -8x = 0

Reorder the terms:
5 + -6 + 2 + 4x + 7x + -8x = 0

Combine like terms: 5 + -6 = -1
-1 + 2 + 4x + 7x + -8x = 0

Combine like terms: -1 + 2 = 1
1 + 4x + 7x + -8x = 0

Combine like terms: 4x + 7x = 11x
1 + 11x + -8x = 0

Combine like terms: 11x + -8x = 3x
1 + 3x = 0

Solving
1 + 3x = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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