5(4-6h)=8(6h-4)

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Solution for 5(4-6h)=8(6h-4) equation:


Simplifying
5(4 + -6h) = 8(6h + -4)
(4 * 5 + -6h * 5) = 8(6h + -4)
(20 + -30h) = 8(6h + -4)

Reorder the terms:
20 + -30h = 8(-4 + 6h)
20 + -30h = (-4 * 8 + 6h * 8)
20 + -30h = (-32 + 48h)

Solving
20 + -30h = -32 + 48h

Solving for variable 'h'.

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

Add '-48h' to each side of the equation.
20 + -30h + -48h = -32 + 48h + -48h

Combine like terms: -30h + -48h = -78h
20 + -78h = -32 + 48h + -48h

Combine like terms: 48h + -48h = 0
20 + -78h = -32 + 0
20 + -78h = -32

Add '-20' to each side of the equation.
20 + -20 + -78h = -32 + -20

Combine like terms: 20 + -20 = 0
0 + -78h = -32 + -20
-78h = -32 + -20

Combine like terms: -32 + -20 = -52
-78h = -52

Divide each side by '-78'.
h = 0.6666666667

Simplifying
h = 0.6666666667

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