# How do you solve and check your solutions to 16-2.4d=-8?

Aug 6, 2016

$d = 10$

#### Explanation:

To solve a linear equation like $16 - 2.4 d = - 8$, we should all constant terms to one side and variable term to other side. Here we have two negative terms $- 2.4 d$ and $- 8$, so we add $2.4 d + 8$ on both sides, which gives us

$16 - 2.4 d + 2.4 d + 8 = 2.4 d + 8 - 8$ or

$16 - \cancel{2.4 d} + \cancel{2.4 d} + 8 = 2.4 d + \cancel{8} - \cancel{8}$ or

$16 + 8 = 2.4 d$ and reversing LHS and RHS, we get

$2.4 d = 24$ or

$d = 24 \div 2.4 = 24 \div \frac{24}{10} = 24 \times \frac{10}{24} = \cancel{24} \times \frac{10}{\cancel{24}} = 10$

Hence, $d = 10$.

To check the answer, let us put $d = 10$ in LHS. Then

$L H S = 16 - 2.4 d = 16 - 2.4 \times 10 = 16 - 24 = - 8 = R H S$

Hence the solution $d = 10$ is correct.