(3x-6)+2(2x-5)=26

Solution for (3x-6)+2(2x-5)=26 equation:

Simplifying
(3x + -6) + 2(2x + -5) = 26

Reorder the terms:
(-6 + 3x) + 2(2x + -5) = 26

Remove parenthesis around (-6 + 3x)
-6 + 3x + 2(2x + -5) = 26

Reorder the terms:
-6 + 3x + 2(-5 + 2x) = 26
-6 + 3x + (-5 * 2 + 2x * 2) = 26
-6 + 3x + (-10 + 4x) = 26

Reorder the terms:
-6 + -10 + 3x + 4x = 26

Combine like terms: -6 + -10 = -16
-16 + 3x + 4x = 26

Combine like terms: 3x + 4x = 7x
-16 + 7x = 26

Solving
-16 + 7x = 26

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 7x = 26 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 26 + 16
7x = 26 + 16

Combine like terms: 26 + 16 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6