11(2q-8)=-4(7-3q)

Solution for 11(2q-8)=-4(7-3q) equation:

Simplifying
11(2q + -8) = -4(7 + -3q)

Reorder the terms:
11(-8 + 2q) = -4(7 + -3q)
(-8 * 11 + 2q * 11) = -4(7 + -3q)
(-88 + 22q) = -4(7 + -3q)
-88 + 22q = (7 * -4 + -3q * -4)
-88 + 22q = (-28 + 12q)

Solving
-88 + 22q = -28 + 12q

Solving for variable 'q'.

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

Add '-12q' to each side of the equation.
-88 + 22q + -12q = -28 + 12q + -12q

Combine like terms: 22q + -12q = 10q
-88 + 10q = -28 + 12q + -12q

Combine like terms: 12q + -12q = 0
-88 + 10q = -28 + 0
-88 + 10q = -28

Add '88' to each side of the equation.
-88 + 88 + 10q = -28 + 88

Combine like terms: -88 + 88 = 0
0 + 10q = -28 + 88
10q = -28 + 88

Combine like terms: -28 + 88 = 60
10q = 60

Divide each side by '10'.
q = 6

Simplifying
q = 6