2(h-5.3)=0.2(32.9+h)

Solution for 2(h-5.3)=0.2(32.9+h) equation:

Simplifying
2(h + -5.3) = 0.2(32.9 + h)

Reorder the terms:
2(-5.3 + h) = 0.2(32.9 + h)
(-5.3 * 2 + h * 2) = 0.2(32.9 + h)
(-10.6 + 2h) = 0.2(32.9 + h)
-10.6 + 2h = (32.9 * 0.2 + h * 0.2)
-10.6 + 2h = (6.58 + 0.2h)

Solving
-10.6 + 2h = 6.58 + 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.
-10.6 + 2h + -0.2h = 6.58 + 0.2h + -0.2h

Combine like terms: 2h + -0.2h = 1.8h
-10.6 + 1.8h = 6.58 + 0.2h + -0.2h

Combine like terms: 0.2h + -0.2h = 0.0
-10.6 + 1.8h = 6.58 + 0.0
-10.6 + 1.8h = 6.58

Add '10.6' to each side of the equation.
-10.6 + 10.6 + 1.8h = 6.58 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0
0.0 + 1.8h = 6.58 + 10.6
1.8h = 6.58 + 10.6

Combine like terms: 6.58 + 10.6 = 17.18
1.8h = 17.18

Divide each side by '1.8'.
h = 9.544444444

Simplifying
h = 9.544444444