4q-(2q+6)=5-(2q-8)

Solution for 4q-(2q+6)=5-(2q-8) equation:

Simplifying
4q + -1(2q + 6) = 5 + -1(2q + -8)

Reorder the terms:
4q + -1(6 + 2q) = 5 + -1(2q + -8)
4q + (6 * -1 + 2q * -1) = 5 + -1(2q + -8)
4q + (-6 + -2q) = 5 + -1(2q + -8)

Reorder the terms:
-6 + 4q + -2q = 5 + -1(2q + -8)

Combine like terms: 4q + -2q = 2q
-6 + 2q = 5 + -1(2q + -8)

Reorder the terms:
-6 + 2q = 5 + -1(-8 + 2q)
-6 + 2q = 5 + (-8 * -1 + 2q * -1)
-6 + 2q = 5 + (8 + -2q)

Combine like terms: 5 + 8 = 13
-6 + 2q = 13 + -2q

Solving
-6 + 2q = 13 + -2q

Solving for variable 'q'.

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

Add '2q' to each side of the equation.
-6 + 2q + 2q = 13 + -2q + 2q

Combine like terms: 2q + 2q = 4q
-6 + 4q = 13 + -2q + 2q

Combine like terms: -2q + 2q = 0
-6 + 4q = 13 + 0
-6 + 4q = 13

Add '6' to each side of the equation.
-6 + 6 + 4q = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 4q = 13 + 6
4q = 13 + 6

Combine like terms: 13 + 6 = 19
4q = 19

Divide each side by '4'.
q = 4.75

Simplifying
q = 4.75