9(0.7h+5.03)-10.38=2(2.4h+3.87)

Solution for 9(0.7h+5.03)-10.38=2(2.4h+3.87) equation:

Simplifying
9(0.7h + 5.03) + -10.38 = 2(2.4h + 3.87)

Reorder the terms:
9(5.03 + 0.7h) + -10.38 = 2(2.4h + 3.87)
(5.03 * 9 + 0.7h * 9) + -10.38 = 2(2.4h + 3.87)
(45.27 + 6.3h) + -10.38 = 2(2.4h + 3.87)

Reorder the terms:
45.27 + -10.38 + 6.3h = 2(2.4h + 3.87)

Combine like terms: 45.27 + -10.38 = 34.89
34.89 + 6.3h = 2(2.4h + 3.87)

Reorder the terms:
34.89 + 6.3h = 2(3.87 + 2.4h)
34.89 + 6.3h = (3.87 * 2 + 2.4h * 2)
34.89 + 6.3h = (7.74 + 4.8h)

Solving
34.89 + 6.3h = 7.74 + 4.8h

Solving for variable 'h'.

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

Add '-4.8h' to each side of the equation.
34.89 + 6.3h + -4.8h = 7.74 + 4.8h + -4.8h

Combine like terms: 6.3h + -4.8h = 1.5h
34.89 + 1.5h = 7.74 + 4.8h + -4.8h

Combine like terms: 4.8h + -4.8h = 0.0
34.89 + 1.5h = 7.74 + 0.0
34.89 + 1.5h = 7.74

Add '-34.89' to each side of the equation.
34.89 + -34.89 + 1.5h = 7.74 + -34.89

Combine like terms: 34.89 + -34.89 = 0.00
0.00 + 1.5h = 7.74 + -34.89
1.5h = 7.74 + -34.89

Combine like terms: 7.74 + -34.89 = -27.15
1.5h = -27.15

Divide each side by '1.5'.
h = -18.1

Simplifying
h = -18.1