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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 8x + -3x = 5x
-6 + 6x = 17 + 5x

Solving
-6 + 6x = 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.
-6 + 6x + -5x = 17 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-6 + 1x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 1x = 17 + 0
-6 + 1x = 17

Add '6' to each side of the equation.
-6 + 6 + 1x = 17 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 17 + 6
1x = 17 + 6

Combine like terms: 17 + 6 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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