2(g-0.1)=3(0.3-g)

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

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

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

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

Solving for variable 'g'.

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

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

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

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

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

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

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

Divide each side by '5'.
g = 0.22

Simplifying
g = 0.22