1.5-q=2(3-q)

Solution for 1.5-q=2(3-q) equation:

Simplifying
1.5 + -1q = 2(3 + -1q)
1.5 + -1q = (3 * 2 + -1q * 2)
1.5 + -1q = (6 + -2q)

Solving
1.5 + -1q = 6 + -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.
1.5 + -1q + 2q = 6 + -2q + 2q

Combine like terms: -1q + 2q = 1q
1.5 + 1q = 6 + -2q + 2q

Combine like terms: -2q + 2q = 0
1.5 + 1q = 6 + 0
1.5 + 1q = 6

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1q = 6 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1q = 6 + -1.5
1q = 6 + -1.5

Combine like terms: 6 + -1.5 = 4.5
1q = 4.5

Divide each side by '1'.
q = 4.5

Simplifying
q = 4.5