(-6x+5)+(4x-3)=5x+8

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Solution for (-6x+5)+(4x-3)=5x+8 equation:


Simplifying
(-6x + 5) + (4x + -3) = 5x + 8

Reorder the terms:
(5 + -6x) + (4x + -3) = 5x + 8

Remove parenthesis around (5 + -6x)
5 + -6x + (4x + -3) = 5x + 8

Reorder the terms:
5 + -6x + (-3 + 4x) = 5x + 8

Remove parenthesis around (-3 + 4x)
5 + -6x + -3 + 4x = 5x + 8

Reorder the terms:
5 + -3 + -6x + 4x = 5x + 8

Combine like terms: 5 + -3 = 2
2 + -6x + 4x = 5x + 8

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

Reorder the terms:
2 + -2x = 8 + 5x

Solving
2 + -2x = 8 + 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 + -2x + -5x = 8 + 5x + -5x

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

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 8 + -2

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

Combine like terms: 8 + -2 = 6
-7x = 6

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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