105=0.5h(10+5)

Solution for 105=0.5h(10+5) equation:

Simplifying
105 = 0.5h(10 + 5)

Combine like terms: 10 + 5 = 15
105 = 0.5h(15)

Reorder the terms for easier multiplication:
105 = 0.5 * 15h

Multiply 0.5 * 15
105 = 7.5h

Solving
105 = 7.5h

Solving for variable 'h'.

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

Add '-7.5h' to each side of the equation.
105 + -7.5h = 7.5h + -7.5h

Combine like terms: 7.5h + -7.5h = 0.0
105 + -7.5h = 0.0

Add '-105' to each side of the equation.
105 + -105 + -7.5h = 0.0 + -105

Combine like terms: 105 + -105 = 0
0 + -7.5h = 0.0 + -105
-7.5h = 0.0 + -105

Combine like terms: 0.0 + -105 = -105
-7.5h = -105

Divide each side by '-7.5'.
h = 14

Simplifying
h = 14