Question 89fa4

Oct 1, 2016

Get rid of the fractions! Then solve.
$x = - 8 \frac{6}{9} = - 8 \frac{2}{3}$

Explanation:

If you have an equation which has ONE fraction on each side of the = sign, then you can get rid of the fractions by cross-multiplying.

 color(red)((7x -1))/color(blue)(5) = color(blue)((3(5+2x))/color(red)(3)#

You can multiply with either red or blue first. I have chosen to multiply the blue first, you will see why in the working. *

$\textcolor{b l u e}{5 \times 3 \left(5 + 2 x\right)} = \textcolor{red}{3 \left(7 x - 1\right)} \text{ } \leftarrow$ no fractions !

$75 + 30 x = 21 x - 3 \text{ } \leftarrow$ bigger x on the left was predictable*

$30 x - 21 x = - 3 - 75$

$9 x = - 78$

$x = - \frac{78}{9}$

$x = - 8 \frac{6}{9} = - 8 \frac{2}{3}$