Which is the solution to the equation 3.5(2h+4.5)=57.75?

Dec 20, 2016

$h = 6$

Explanation:

First, expand the terms within parenthesis:

$\left(3.5 \times 2 h\right) + \left(3.5 \times 4.5\right) = 57.75$

$7 h + 15.75 = 57.75$

Next, isolate the $h$ term on one side of the equation and the constants on the other side of the equation while keeping the equation balanced:

$7 h + 15.75 - \textcolor{red}{15.75} = 57.75 - \textcolor{red}{15.75}$

$7 h + 0 = 42$

$7 h = 42$

Now, solve for $h$ while keeping the equation balanced:

$\frac{7 h}{\textcolor{red}{7}} = \frac{42}{\textcolor{red}{7}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} h}{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}}} = 6$

$h = 6$