2(h+t)=5h-7

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


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

Reorder the terms:
2h + 2t = -7 + 5h

Solving
2h + 2t = -7 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
2h + -5h + 2t = -7 + 5h + -5h

Combine like terms: 2h + -5h = -3h
-3h + 2t = -7 + 5h + -5h

Combine like terms: 5h + -5h = 0
-3h + 2t = -7 + 0
-3h + 2t = -7

Add '-2t' to each side of the equation.
-3h + 2t + -2t = -7 + -2t

Combine like terms: 2t + -2t = 0
-3h + 0 = -7 + -2t
-3h = -7 + -2t

Divide each side by '-3'.
h = 2.333333333 + 0.6666666667t

Simplifying
h = 2.333333333 + 0.6666666667t

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