(3x-9)+(x+6)=15

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Solution for (3x-9)+(x+6)=15 equation:


Simplifying
(3x + -9) + (x + 6) = 15

Reorder the terms:
(-9 + 3x) + (x + 6) = 15

Remove parenthesis around (-9 + 3x)
-9 + 3x + (x + 6) = 15

Reorder the terms:
-9 + 3x + (6 + x) = 15

Remove parenthesis around (6 + x)
-9 + 3x + 6 + x = 15

Reorder the terms:
-9 + 6 + 3x + x = 15

Combine like terms: -9 + 6 = -3
-3 + 3x + x = 15

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

Solving
-3 + 4x = 15

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 15 + 3
4x = 15 + 3

Combine like terms: 15 + 3 = 18
4x = 18

Divide each side by '4'.
x = 4.5

Simplifying
x = 4.5

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