What is x if -3/4(x+2)=-1?

Nov 14, 2015

I found $x = - \frac{2}{3}$

Explanation:

Basically here you want the value of $x$ that makes the left side equal to the right. You could try to guess but is complicated...
You can try instead to isolate $x$ on one side (the left, for example) and "read" the result.

Remember that everything that passes through the equal sign has to change sign!
If it was a sum it becomes a subtraction;
if it was a multiplication it becomes a division...and vice versa;
$- \frac{3}{4}$ is multiplying the bracket, so it goes to the right as a division:
$\left(x + 2\right) = - \frac{1}{- \frac{3}{4}}$
the $2$ is a sum so it goes to the right as a subtraction:
$x = - \frac{1}{- \frac{3}{4}} - 2$ now we can rearrange to simplify a bit the right side and write:
$x = - 1 \cdot \left(- \frac{4}{3}\right) - 2$
$x = \frac{4}{3} - 2$
$x = \frac{4 - 6}{3} = - \frac{2}{3}$
You can now try to substitute this value of $x$ into your original equation to see if it satisfies it!!!