2(h+5)-3(h-2)=5(2h+1)

Solution for 2(h+5)-3(h-2)=5(2h+1) equation:

Simplifying
2(h + 5) + -3(h + -2) = 5(2h + 1)

Reorder the terms:
2(5 + h) + -3(h + -2) = 5(2h + 1)
(5 * 2 + h * 2) + -3(h + -2) = 5(2h + 1)
(10 + 2h) + -3(h + -2) = 5(2h + 1)

Reorder the terms:
10 + 2h + -3(-2 + h) = 5(2h + 1)
10 + 2h + (-2 * -3 + h * -3) = 5(2h + 1)
10 + 2h + (6 + -3h) = 5(2h + 1)

Reorder the terms:
10 + 6 + 2h + -3h = 5(2h + 1)

Combine like terms: 10 + 6 = 16
16 + 2h + -3h = 5(2h + 1)

Combine like terms: 2h + -3h = -1h
16 + -1h = 5(2h + 1)

Reorder the terms:
16 + -1h = 5(1 + 2h)
16 + -1h = (1 * 5 + 2h * 5)
16 + -1h = (5 + 10h)

Solving
16 + -1h = 5 + 10h

Solving for variable 'h'.

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

Add '-10h' to each side of the equation.
16 + -1h + -10h = 5 + 10h + -10h

Combine like terms: -1h + -10h = -11h
16 + -11h = 5 + 10h + -10h

Combine like terms: 10h + -10h = 0
16 + -11h = 5 + 0
16 + -11h = 5

Add '-16' to each side of the equation.
16 + -16 + -11h = 5 + -16

Combine like terms: 16 + -16 = 0
0 + -11h = 5 + -16
-11h = 5 + -16

Combine like terms: 5 + -16 = -11
-11h = -11

Divide each side by '-11'.
h = 1

Simplifying
h = 1