# How do you make t the subject of the formula 2(d-t) = 4t+7?

May 1, 2018

$t = \frac{2 d - 7}{6}$

#### Explanation:

Expand the left hand side first using the distributive method $a \left(b + c\right) = a b + a c$.

$2 \left(d - t\right)$ is $2 \times d = 2 d$ and $2 \times - t = - 2 t$

$2 d - 2 t = 4 t + 7 \quad \quad$ now take all the t's to the right hand side
$2 d = 6 t + 7 \quad \quad \quad$ take the +7 to the left hand side
$2 d - 7 = 6 t \quad \quad \quad$ divide both sides by 6 to get t on its own

$\frac{2 d - 7}{6} = t$

You could go one further and separate the single fraction on the left hand side into two fractions and simplify where possible

$\frac{2 d}{6} - \frac{7}{6} = t$

$\frac{d}{3} - \frac{7}{6} = t$ or even turn the improper fraction to a mixed number

$\frac{d}{3} - 1 \frac{1}{6} = t$