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

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


Simplifying
x + -1(-3 + 5x) + 5 = -6 + (5x + -4)
x + (-3 * -1 + 5x * -1) + 5 = -6 + (5x + -4)
x + (3 + -5x) + 5 = -6 + (5x + -4)

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

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

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

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

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

Combine like terms: -6 + -4 = -10
8 + -4x = -10 + 5x

Solving
8 + -4x = -10 + 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.
8 + -4x + -5x = -10 + 5x + -5x

Combine like terms: -4x + -5x = -9x
8 + -9x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -9x = -10 + 0
8 + -9x = -10

Add '-8' to each side of the equation.
8 + -8 + -9x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -10 + -8
-9x = -10 + -8

Combine like terms: -10 + -8 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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