How do you solve (3x-5.7)/6 = 4.1?

Nov 4, 2016

$x = 10.7$

Explanation:

You need to isolate $x$ which is in the numerator.
Get rid of the denominator first: $\times 6$ on both sides

$\textcolor{b l u e}{\cancel{6} \times} \frac{\left(3 x - 5.7\right)}{\cancel{6}} = 4.1 \textcolor{b l u e}{\times 6}$

$3 x - 5.7 = 26.4 \text{ } \leftarrow$ add 5.7 to both sides

$3 x - 5.7 \textcolor{red}{+ 5.7} = 26.4 \textcolor{red}{+ 5.7}$

$3 x = 32.1 \text{ } \leftarrow \div 3$ on both sides

$\frac{3 x}{3} = \frac{32.1}{3}$

$x = 10.7$