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

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


Simplifying
5x + -1(x + -1(8 + -1x)) = 4x + 6
5x + -1(x + (8 * -1 + -1x * -1)) = 4x + 6
5x + -1(x + (-8 + 1x)) = 4x + 6

Reorder the terms:
5x + -1(-8 + x + 1x) = 4x + 6

Combine like terms: x + 1x = 2x
5x + -1(-8 + 2x) = 4x + 6
5x + (-8 * -1 + 2x * -1) = 4x + 6
5x + (8 + -2x) = 4x + 6

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

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

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

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

Combine like terms: 3x + -4x = -1x
8 + -1x = 6 + 4x + -4x

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 6 + -8
-1x = 6 + -8

Combine like terms: 6 + -8 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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