(5x-15)+(4x+12)=3x-3

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Solution for (5x-15)+(4x+12)=3x-3 equation:


Simplifying
(5x + -15) + (4x + 12) = 3x + -3

Reorder the terms:
(-15 + 5x) + (4x + 12) = 3x + -3

Remove parenthesis around (-15 + 5x)
-15 + 5x + (4x + 12) = 3x + -3

Reorder the terms:
-15 + 5x + (12 + 4x) = 3x + -3

Remove parenthesis around (12 + 4x)
-15 + 5x + 12 + 4x = 3x + -3

Reorder the terms:
-15 + 12 + 5x + 4x = 3x + -3

Combine like terms: -15 + 12 = -3
-3 + 5x + 4x = 3x + -3

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

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

Add '3' to each side of the equation.
-3 + 3 + 9x = -3 + 3 + 3x

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

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

Solving
9x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9x + -3x = 3x + -3x

Combine like terms: 9x + -3x = 6x
6x = 3x + -3x

Combine like terms: 3x + -3x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0

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