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

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


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

Combine like terms: 5 + -3 = 2
(2) + -1(-4x + 6) = (8x + 11) + -1(3x + -6)
2 + -1(-4x + 6) = (8x + 11) + -1(3x + -6)

Reorder the terms:
2 + -1(6 + -4x) = (8x + 11) + -1(3x + -6)
2 + (6 * -1 + -4x * -1) = (8x + 11) + -1(3x + -6)
2 + (-6 + 4x) = (8x + 11) + -1(3x + -6)

Combine like terms: 2 + -6 = -4
-4 + 4x = (8x + 11) + -1(3x + -6)

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

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

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

Reorder the terms:
-4 + 4x = 11 + 6 + 8x + -3x

Combine like terms: 11 + 6 = 17
-4 + 4x = 17 + 8x + -3x

Combine like terms: 8x + -3x = 5x
-4 + 4x = 17 + 5x

Solving
-4 + 4x = 17 + 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.
-4 + 4x + -5x = 17 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-4 + -1x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -1x = 17 + 0
-4 + -1x = 17

Add '4' to each side of the equation.
-4 + 4 + -1x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 17 + 4
-1x = 17 + 4

Combine like terms: 17 + 4 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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