2(q-0.1)=3(0.3-1q)

Solution for 2(q-0.1)=3(0.3-1q) equation:

Simplifying
2(q + -0.1) = 3(0.3 + -1q)

Reorder the terms:
2(-0.1 + q) = 3(0.3 + -1q)
(-0.1 * 2 + q * 2) = 3(0.3 + -1q)
(-0.2 + 2q) = 3(0.3 + -1q)
-0.2 + 2q = (0.3 * 3 + -1q * 3)
-0.2 + 2q = (0.9 + -3q)

Solving
-0.2 + 2q = 0.9 + -3q

Solving for variable 'q'.

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

Add '3q' to each side of the equation.
-0.2 + 2q + 3q = 0.9 + -3q + 3q

Combine like terms: 2q + 3q = 5q
-0.2 + 5q = 0.9 + -3q + 3q

Combine like terms: -3q + 3q = 0
-0.2 + 5q = 0.9 + 0
-0.2 + 5q = 0.9

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 5q = 0.9 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 5q = 0.9 + 0.2
5q = 0.9 + 0.2

Combine like terms: 0.9 + 0.2 = 1.1
5q = 1.1

Divide each side by '5'.
q = 0.22

Simplifying
q = 0.22