Zain Padilla
2022-02-04
Answered

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

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taibidzhl

Answered 2022-02-05
Author has **17** answers

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

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:

the 2 is a sum so it goes to the right as a subtraction:

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

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