h+2=5(2h-7)

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Solution for h+2=5(2h-7) equation:


Simplifying
h + 2 = 5(2h + -7)

Reorder the terms:
2 + h = 5(2h + -7)

Reorder the terms:
2 + h = 5(-7 + 2h)
2 + h = (-7 * 5 + 2h * 5)
2 + h = (-35 + 10h)

Solving
2 + h = -35 + 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.
2 + h + -10h = -35 + 10h + -10h

Combine like terms: h + -10h = -9h
2 + -9h = -35 + 10h + -10h

Combine like terms: 10h + -10h = 0
2 + -9h = -35 + 0
2 + -9h = -35

Add '-2' to each side of the equation.
2 + -2 + -9h = -35 + -2

Combine like terms: 2 + -2 = 0
0 + -9h = -35 + -2
-9h = -35 + -2

Combine like terms: -35 + -2 = -37
-9h = -37

Divide each side by '-9'.
h = 4.111111111

Simplifying
h = 4.111111111

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