Solve for h
h=1
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\left(h+2\right)\times 4=\left(h+3\right)\times 3
Variable h cannot be equal to any of the values -3,-2 since division by zero is not defined. Multiply both sides of the equation by \left(h+2\right)\left(h+3\right), the least common multiple of h+3,h+2.
4h+8=\left(h+3\right)\times 3
Use the distributive property to multiply h+2 by 4.
4h+8=3h+9
Use the distributive property to multiply h+3 by 3.
4h+8-3h=9
Subtract 3h from both sides.
h+8=9
Combine 4h and -3h to get h.
h=9-8
Subtract 8 from both sides.
h=1
Subtract 8 from 9 to get 1.
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