(5-3x)-(-44+6)=(8x+11)-(3x-6)

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Solution for (5-3x)-(-44+6)=(8x+11)-(3x-6) equation:


Simplifying
(5 + -3x) + -1(-44 + 6) = (8x + 11) + -1(3x + -6)

Remove parenthesis around (5 + -3x)
5 + -3x + -1(-44 + 6) = (8x + 11) + -1(3x + -6)

Combine like terms: -44 + 6 = -38
5 + -3x + -1(-38) = (8x + 11) + -1(3x + -6)

Multiply -1 * -38
5 + -3x + 38 = (8x + 11) + -1(3x + -6)

Reorder the terms:
5 + 38 + -3x = (8x + 11) + -1(3x + -6)

Combine like terms: 5 + 38 = 43
43 + -3x = (8x + 11) + -1(3x + -6)

Reorder the terms:
43 + -3x = (11 + 8x) + -1(3x + -6)

Remove parenthesis around (11 + 8x)
43 + -3x = 11 + 8x + -1(3x + -6)

Reorder the terms:
43 + -3x = 11 + 8x + -1(-6 + 3x)
43 + -3x = 11 + 8x + (-6 * -1 + 3x * -1)
43 + -3x = 11 + 8x + (6 + -3x)

Reorder the terms:
43 + -3x = 11 + 6 + 8x + -3x

Combine like terms: 11 + 6 = 17
43 + -3x = 17 + 8x + -3x

Combine like terms: 8x + -3x = 5x
43 + -3x = 17 + 5x

Solving
43 + -3x = 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.
43 + -3x + -5x = 17 + 5x + -5x

Combine like terms: -3x + -5x = -8x
43 + -8x = 17 + 5x + -5x

Combine like terms: 5x + -5x = 0
43 + -8x = 17 + 0
43 + -8x = 17

Add '-43' to each side of the equation.
43 + -43 + -8x = 17 + -43

Combine like terms: 43 + -43 = 0
0 + -8x = 17 + -43
-8x = 17 + -43

Combine like terms: 17 + -43 = -26
-8x = -26

Divide each side by '-8'.
x = 3.25

Simplifying
x = 3.25

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