(3x+9)-(5x-8)=0

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Solution for (3x+9)-(5x-8)=0 equation:


Simplifying
(3x + 9) + -1(5x + -8) = 0

Reorder the terms:
(9 + 3x) + -1(5x + -8) = 0

Remove parenthesis around (9 + 3x)
9 + 3x + -1(5x + -8) = 0

Reorder the terms:
9 + 3x + -1(-8 + 5x) = 0
9 + 3x + (-8 * -1 + 5x * -1) = 0
9 + 3x + (8 + -5x) = 0

Reorder the terms:
9 + 8 + 3x + -5x = 0

Combine like terms: 9 + 8 = 17
17 + 3x + -5x = 0

Combine like terms: 3x + -5x = -2x
17 + -2x = 0

Solving
17 + -2x = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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