4(2q-5)-3(5+q)=0

Solution for 4(2q-5)-3(5+q)=0 equation:

Simplifying
4(2q + -5) + -3(5 + q) = 0

Reorder the terms:
4(-5 + 2q) + -3(5 + q) = 0
(-5 * 4 + 2q * 4) + -3(5 + q) = 0
(-20 + 8q) + -3(5 + q) = 0
-20 + 8q + (5 * -3 + q * -3) = 0
-20 + 8q + (-15 + -3q) = 0

Reorder the terms:
-20 + -15 + 8q + -3q = 0

Combine like terms: -20 + -15 = -35
-35 + 8q + -3q = 0

Combine like terms: 8q + -3q = 5q
-35 + 5q = 0

Solving
-35 + 5q = 0

Solving for variable 'q'.

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

Add '35' to each side of the equation.
-35 + 35 + 5q = 0 + 35

Combine like terms: -35 + 35 = 0
0 + 5q = 0 + 35
5q = 0 + 35

Combine like terms: 0 + 35 = 35
5q = 35

Divide each side by '5'.
q = 7

Simplifying
q = 7