(3x-5)-(5x+4)=0

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Solution for (3x-5)-(5x+4)=0 equation:


Simplifying
(3x + -5) + -1(5x + 4) = 0

Reorder the terms:
(-5 + 3x) + -1(5x + 4) = 0

Remove parenthesis around (-5 + 3x)
-5 + 3x + -1(5x + 4) = 0

Reorder the terms:
-5 + 3x + -1(4 + 5x) = 0
-5 + 3x + (4 * -1 + 5x * -1) = 0
-5 + 3x + (-4 + -5x) = 0

Reorder the terms:
-5 + -4 + 3x + -5x = 0

Combine like terms: -5 + -4 = -9
-9 + 3x + -5x = 0

Combine like terms: 3x + -5x = -2x
-9 + -2x = 0

Solving
-9 + -2x = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 0 + 9
-2x = 0 + 9

Combine like terms: 0 + 9 = 9
-2x = 9

Divide each side by '-2'.
x = -4.5

Simplifying
x = -4.5

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