(3x+6)+(5x-9)=101

Solution for (3x+6)+(5x-9)=101 equation:

Simplifying
(3x + 6) + (5x + -9) = 101

Reorder the terms:
(6 + 3x) + (5x + -9) = 101

Remove parenthesis around (6 + 3x)
6 + 3x + (5x + -9) = 101

Reorder the terms:
6 + 3x + (-9 + 5x) = 101

Remove parenthesis around (-9 + 5x)
6 + 3x + -9 + 5x = 101

Reorder the terms:
6 + -9 + 3x + 5x = 101

Combine like terms: 6 + -9 = -3
-3 + 3x + 5x = 101

Combine like terms: 3x + 5x = 8x
-3 + 8x = 101

Solving
-3 + 8x = 101

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 + 8x = 101 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 101 + 3
8x = 101 + 3

Combine like terms: 101 + 3 = 104
8x = 104

Divide each side by '8'.
x = 13

Simplifying
x = 13