3(2q-7)-(3q-8)=22

Solution for 3(2q-7)-(3q-8)=22 equation:

Simplifying
3(2q + -7) + -1(3q + -8) = 22

Reorder the terms:
3(-7 + 2q) + -1(3q + -8) = 22
(-7 * 3 + 2q * 3) + -1(3q + -8) = 22
(-21 + 6q) + -1(3q + -8) = 22

Reorder the terms:
-21 + 6q + -1(-8 + 3q) = 22
-21 + 6q + (-8 * -1 + 3q * -1) = 22
-21 + 6q + (8 + -3q) = 22

Reorder the terms:
-21 + 8 + 6q + -3q = 22

Combine like terms: -21 + 8 = -13
-13 + 6q + -3q = 22

Combine like terms: 6q + -3q = 3q
-13 + 3q = 22

Solving
-13 + 3q = 22

Solving for variable 'q'.

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

Add '13' to each side of the equation.
-13 + 13 + 3q = 22 + 13

Combine like terms: -13 + 13 = 0
0 + 3q = 22 + 13
3q = 22 + 13

Combine like terms: 22 + 13 = 35
3q = 35

Divide each side by '3'.
q = 11.66666667

Simplifying
q = 11.66666667