0.7h+2(h-3)=0.2h+3

Solution for 0.7h+2(h-3)=0.2h+3 equation:

Simplifying
0.7h + 2(h + -3) = 0.2h + 3

Reorder the terms:
0.7h + 2(-3 + h) = 0.2h + 3
0.7h + (-3 * 2 + h * 2) = 0.2h + 3
0.7h + (-6 + 2h) = 0.2h + 3

Reorder the terms:
-6 + 0.7h + 2h = 0.2h + 3

Combine like terms: 0.7h + 2h = 2.7h
-6 + 2.7h = 0.2h + 3

Reorder the terms:
-6 + 2.7h = 3 + 0.2h

Solving
-6 + 2.7h = 3 + 0.2h

Solving for variable 'h'.

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

Add '-0.2h' to each side of the equation.
-6 + 2.7h + -0.2h = 3 + 0.2h + -0.2h

Combine like terms: 2.7h + -0.2h = 2.5h
-6 + 2.5h = 3 + 0.2h + -0.2h

Combine like terms: 0.2h + -0.2h = 0.0
-6 + 2.5h = 3 + 0.0
-6 + 2.5h = 3

Add '6' to each side of the equation.
-6 + 6 + 2.5h = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 2.5h = 3 + 6
2.5h = 3 + 6

Combine like terms: 3 + 6 = 9
2.5h = 9

Divide each side by '2.5'.
h = 3.6

Simplifying
h = 3.6