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

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


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

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

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

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

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

Solving
8 + 2x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + 2x + 4x = -2 + -4x + 4x

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

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

Add '-8' to each side of the equation.
8 + -8 + 6x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = -2 + -8
6x = -2 + -8

Combine like terms: -2 + -8 = -10
6x = -10

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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