-3(h-6)=5(2h+3)

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Solution for -3(h-6)=5(2h+3) equation:


Simplifying
-3(h + -6) = 5(2h + 3)

Reorder the terms:
-3(-6 + h) = 5(2h + 3)
(-6 * -3 + h * -3) = 5(2h + 3)
(18 + -3h) = 5(2h + 3)

Reorder the terms:
18 + -3h = 5(3 + 2h)
18 + -3h = (3 * 5 + 2h * 5)
18 + -3h = (15 + 10h)

Solving
18 + -3h = 15 + 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.
18 + -3h + -10h = 15 + 10h + -10h

Combine like terms: -3h + -10h = -13h
18 + -13h = 15 + 10h + -10h

Combine like terms: 10h + -10h = 0
18 + -13h = 15 + 0
18 + -13h = 15

Add '-18' to each side of the equation.
18 + -18 + -13h = 15 + -18

Combine like terms: 18 + -18 = 0
0 + -13h = 15 + -18
-13h = 15 + -18

Combine like terms: 15 + -18 = -3
-13h = -3

Divide each side by '-13'.
h = 0.2307692308

Simplifying
h = 0.2307692308

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