What is x if −34(x+2)=−1?

1 Answer
Gió
Nov 14, 2015

I found x=−23

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;
In your case:
−34 is multiplying the bracket, so it goes to the right as a division:
(x+2)=−1−34
the 2 is a sum so it goes to the right as a subtraction:
x=−1−34−2 now we can rearrange to simplify a bit the right side and write:
x=−1⋅(−43)−2
x=43−2
x=4−63=−23

You can now try to substitute this value of x into your original equation to see if it satisfies it!!!

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