Answer
One solution.
Work Step by Step
The given equation is
$\Rightarrow 2(h+1)= 5h-7$
Use distributive property.
$\Rightarrow 2h+2= 5h-7$
Subtract $2h$ from each side.
$\Rightarrow 2h+2-2h= 5h-7-2h$
Simplify.
$\Rightarrow 2= 3h-7$
Add $7$ to each side.
$\Rightarrow 2+7= 3h-7+7$
Simplify.
$\Rightarrow 9= 3h$
Divide both sides by $3$.
$\Rightarrow \frac{9}{3}=\frac{3h}{3}$
Simplify.
$\Rightarrow 3= h$
check:-
$\Rightarrow 2(3+1)= 5(3)-7$
$\Rightarrow 2(4)= 15-7$
$\Rightarrow 8= 8$
The statement $h=3$ is true. so, the equation has one solution.
