(2x-6)+(x+3)=13

Solution for (2x-6)+(x+3)=13 equation:

Simplifying
(2x + -6) + (x + 3) = 13

Reorder the terms:
(-6 + 2x) + (x + 3) = 13

Remove parenthesis around (-6 + 2x)
-6 + 2x + (x + 3) = 13

Reorder the terms:
-6 + 2x + (3 + x) = 13

Remove parenthesis around (3 + x)
-6 + 2x + 3 + x = 13

Reorder the terms:
-6 + 3 + 2x + x = 13

Combine like terms: -6 + 3 = -3
-3 + 2x + x = 13

Combine like terms: 2x + x = 3x
-3 + 3x = 13

Solving
-3 + 3x = 13

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 + 3x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 13 + 3
3x = 13 + 3

Combine like terms: 13 + 3 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333