What is x if −34(x+2)=−1?

Question

taibidzhl · Accepted Answer

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;
In your case:

- \frac{3}{4}

is multiplying the bracket, so it goes to the right as a division:

(x + 2) = - \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 (- \frac{4}{3}) - 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

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

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