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

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


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

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

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

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

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

Combine like terms: -3 + -9 = -12
-12 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
-12 + 2x = 0

Solving
-12 + 2x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 2x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 0 + 12
2x = 0 + 12

Combine like terms: 0 + 12 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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