5(h-5)=8(-4h+3)

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Solution for 5(h-5)=8(-4h+3) equation:


Simplifying
5(h + -5) = 8(-4h + 3)

Reorder the terms:
5(-5 + h) = 8(-4h + 3)
(-5 * 5 + h * 5) = 8(-4h + 3)
(-25 + 5h) = 8(-4h + 3)

Reorder the terms:
-25 + 5h = 8(3 + -4h)
-25 + 5h = (3 * 8 + -4h * 8)
-25 + 5h = (24 + -32h)

Solving
-25 + 5h = 24 + -32h

Solving for variable 'h'.

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

Add '32h' to each side of the equation.
-25 + 5h + 32h = 24 + -32h + 32h

Combine like terms: 5h + 32h = 37h
-25 + 37h = 24 + -32h + 32h

Combine like terms: -32h + 32h = 0
-25 + 37h = 24 + 0
-25 + 37h = 24

Add '25' to each side of the equation.
-25 + 25 + 37h = 24 + 25

Combine like terms: -25 + 25 = 0
0 + 37h = 24 + 25
37h = 24 + 25

Combine like terms: 24 + 25 = 49
37h = 49

Divide each side by '37'.
h = 1.324324324

Simplifying
h = 1.324324324

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