(5x+9)-(3x-5)=(9x+3)+(8x-2)

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Solution for (5x+9)-(3x-5)=(9x+3)+(8x-2) equation:


Simplifying
(5x + 9) + -1(3x + -5) = (9x + 3) + (8x + -2)

Reorder the terms:
(9 + 5x) + -1(3x + -5) = (9x + 3) + (8x + -2)

Remove parenthesis around (9 + 5x)
9 + 5x + -1(3x + -5) = (9x + 3) + (8x + -2)

Reorder the terms:
9 + 5x + -1(-5 + 3x) = (9x + 3) + (8x + -2)
9 + 5x + (-5 * -1 + 3x * -1) = (9x + 3) + (8x + -2)
9 + 5x + (5 + -3x) = (9x + 3) + (8x + -2)

Reorder the terms:
9 + 5 + 5x + -3x = (9x + 3) + (8x + -2)

Combine like terms: 9 + 5 = 14
14 + 5x + -3x = (9x + 3) + (8x + -2)

Combine like terms: 5x + -3x = 2x
14 + 2x = (9x + 3) + (8x + -2)

Reorder the terms:
14 + 2x = (3 + 9x) + (8x + -2)

Remove parenthesis around (3 + 9x)
14 + 2x = 3 + 9x + (8x + -2)

Reorder the terms:
14 + 2x = 3 + 9x + (-2 + 8x)

Remove parenthesis around (-2 + 8x)
14 + 2x = 3 + 9x + -2 + 8x

Reorder the terms:
14 + 2x = 3 + -2 + 9x + 8x

Combine like terms: 3 + -2 = 1
14 + 2x = 1 + 9x + 8x

Combine like terms: 9x + 8x = 17x
14 + 2x = 1 + 17x

Solving
14 + 2x = 1 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
14 + 2x + -17x = 1 + 17x + -17x

Combine like terms: 2x + -17x = -15x
14 + -15x = 1 + 17x + -17x

Combine like terms: 17x + -17x = 0
14 + -15x = 1 + 0
14 + -15x = 1

Add '-14' to each side of the equation.
14 + -14 + -15x = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -15x = 1 + -14
-15x = 1 + -14

Combine like terms: 1 + -14 = -13
-15x = -13

Divide each side by '-15'.
x = 0.8666666667

Simplifying
x = 0.8666666667

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