2(h-6)=5(2h+4)

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Solution for 2(h-6)=5(2h+4) equation:


Simplifying
2(h + -6) = 5(2h + 4)

Reorder the terms:
2(-6 + h) = 5(2h + 4)
(-6 * 2 + h * 2) = 5(2h + 4)
(-12 + 2h) = 5(2h + 4)

Reorder the terms:
-12 + 2h = 5(4 + 2h)
-12 + 2h = (4 * 5 + 2h * 5)
-12 + 2h = (20 + 10h)

Solving
-12 + 2h = 20 + 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.
-12 + 2h + -10h = 20 + 10h + -10h

Combine like terms: 2h + -10h = -8h
-12 + -8h = 20 + 10h + -10h

Combine like terms: 10h + -10h = 0
-12 + -8h = 20 + 0
-12 + -8h = 20

Add '12' to each side of the equation.
-12 + 12 + -8h = 20 + 12

Combine like terms: -12 + 12 = 0
0 + -8h = 20 + 12
-8h = 20 + 12

Combine like terms: 20 + 12 = 32
-8h = 32

Divide each side by '-8'.
h = -4

Simplifying
h = -4

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