(5-3x)-(-4x+6)=(8x+11)-83x-6

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Solution for (5-3x)-(-4x+6)=(8x+11)-83x-6 equation:


Simplifying
(5 + -3x) + -1(-4x + 6) = (8x + 11) + -83x + -6

Remove parenthesis around (5 + -3x)
5 + -3x + -1(-4x + 6) = (8x + 11) + -83x + -6

Reorder the terms:
5 + -3x + -1(6 + -4x) = (8x + 11) + -83x + -6
5 + -3x + (6 * -1 + -4x * -1) = (8x + 11) + -83x + -6
5 + -3x + (-6 + 4x) = (8x + 11) + -83x + -6

Reorder the terms:
5 + -6 + -3x + 4x = (8x + 11) + -83x + -6

Combine like terms: 5 + -6 = -1
-1 + -3x + 4x = (8x + 11) + -83x + -6

Combine like terms: -3x + 4x = 1x
-1 + 1x = (8x + 11) + -83x + -6

Reorder the terms:
-1 + 1x = (11 + 8x) + -83x + -6

Remove parenthesis around (11 + 8x)
-1 + 1x = 11 + 8x + -83x + -6

Reorder the terms:
-1 + 1x = 11 + -6 + 8x + -83x

Combine like terms: 11 + -6 = 5
-1 + 1x = 5 + 8x + -83x

Combine like terms: 8x + -83x = -75x
-1 + 1x = 5 + -75x

Solving
-1 + 1x = 5 + -75x

Solving for variable 'x'.

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

Add '75x' to each side of the equation.
-1 + 1x + 75x = 5 + -75x + 75x

Combine like terms: 1x + 75x = 76x
-1 + 76x = 5 + -75x + 75x

Combine like terms: -75x + 75x = 0
-1 + 76x = 5 + 0
-1 + 76x = 5

Add '1' to each side of the equation.
-1 + 1 + 76x = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 76x = 5 + 1
76x = 5 + 1

Combine like terms: 5 + 1 = 6
76x = 6

Divide each side by '76'.
x = 0.07894736842

Simplifying
x = 0.07894736842

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