# What is x if -\frac{3}{4}(x+2)=-1?

What is x if $-\frac{3}{4}\left(x+2\right)=-1$?
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taibidzhl
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