Question

Solve 6x+57=2x+315 . A. x=−911 B. x=911 C. x=119 D. x=−119

Answer 1

Explanation:

Remember: we have to isolate the variable x, so that means we have to get x by itself.

Step 1:

Let’s look at our equation:

$6x+57=2x+315$

Let’s subtract 2x from both sides of the equation, since our goal is to isolate the variable. You could also subtract 6x from both sides, but you would end up with a negative number, and I find it easier to deal with positive numbers.

$6x(-2x)+57=2x(-2x)+315\\4x+57=315$

Step 2:

Now, let’s subtract 57 from both sides of our equation.

$4x+57(-57)=315(-57)\\4x=258$

Step 3:

Since we have to isolate x, let’s divide both sides of the equation by 4.

$4x/4=x\\258/4=64.5$

Our final answer: x = 64.5

None of your options is the correct answer. Notify your teacher, tutor, etc. since there none of the options are correct.