.56(2h-5)=.22(4h-20)

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Solution for .56(2h-5)=.22(4h-20) equation: 


Simplifying
0.56(2h + -5) = 0.22(4h + -20)

Reorder the terms:
0.56(-5 + 2h) = 0.22(4h + -20)
(-5 * 0.56 + 2h * 0.56) = 0.22(4h + -20)
(-2.8 + 1.12h) = 0.22(4h + -20)

Reorder the terms:
-2.8 + 1.12h = 0.22(-20 + 4h)
-2.8 + 1.12h = (-20 * 0.22 + 4h * 0.22)
-2.8 + 1.12h = (-4.4 + 0.88h)

Solving
-2.8 + 1.12h = -4.4 + 0.88h

Solving for variable 'h'.

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

Add '-0.88h' to each side of the equation.
-2.8 + 1.12h + -0.88h = -4.4 + 0.88h + -0.88h

Combine like terms: 1.12h + -0.88h = 0.24h
-2.8 + 0.24h = -4.4 + 0.88h + -0.88h

Combine like terms: 0.88h + -0.88h = 0.00
-2.8 + 0.24h = -4.4 + 0.00
-2.8 + 0.24h = -4.4

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 0.24h = -4.4 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 0.24h = -4.4 + 2.8
0.24h = -4.4 + 2.8

Combine like terms: -4.4 + 2.8 = -1.6
0.24h = -1.6

Divide each side by '0.24'.
h = -6.666666667

Simplifying
h = -6.666666667

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