3(12-5h)-9(2h+6)=3h-10

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Solution for 3(12-5h)-9(2h+6)=3h-10 equation:


Simplifying
3(12 + -5h) + -9(2h + 6) = 3h + -10
(12 * 3 + -5h * 3) + -9(2h + 6) = 3h + -10
(36 + -15h) + -9(2h + 6) = 3h + -10

Reorder the terms:
36 + -15h + -9(6 + 2h) = 3h + -10
36 + -15h + (6 * -9 + 2h * -9) = 3h + -10
36 + -15h + (-54 + -18h) = 3h + -10

Reorder the terms:
36 + -54 + -15h + -18h = 3h + -10

Combine like terms: 36 + -54 = -18
-18 + -15h + -18h = 3h + -10

Combine like terms: -15h + -18h = -33h
-18 + -33h = 3h + -10

Reorder the terms:
-18 + -33h = -10 + 3h

Solving
-18 + -33h = -10 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
-18 + -33h + -3h = -10 + 3h + -3h

Combine like terms: -33h + -3h = -36h
-18 + -36h = -10 + 3h + -3h

Combine like terms: 3h + -3h = 0
-18 + -36h = -10 + 0
-18 + -36h = -10

Add '18' to each side of the equation.
-18 + 18 + -36h = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -36h = -10 + 18
-36h = -10 + 18

Combine like terms: -10 + 18 = 8
-36h = 8

Divide each side by '-36'.
h = -0.2222222222

Simplifying
h = -0.2222222222

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