Question

What is the first step in solving the equation three-tenths equals x divided by three plus one-tenth for x?

a. Add one-tenth to both sides of the equal sign.

b. Add three-tenths to both sides of the equal sign.

c. Subtract one-tenth from both sides of the equal sign.

d. Subtract three-tenths from both sides of the equal sign.

Answer 1

\[\frac{3}{10} = \frac{x}{3}+\frac{1}{10}\]
You're trying to make the equation simpler. Do any of those choices do that?

Answer 2

would you subtract \[\frac{ 1 }{ 10 }\] from both sides

Answer 3

Exactly! Then you would have \[\frac{3}{10}-\frac{1}{10} = \frac{x}{3}+\frac{1}{10}-\frac{1}{10}\]\[\frac{2}{10}=\frac{x}{3}\]

Answer 4

Cross multiply and solve for \(x\) would be the next step

Answer 5

\[2*3 = 10*x\]

Answer 6

\[6=10x\]Divide both sides by 10\[\frac{6}{10} = \frac{10x}{10}\]\[x=\frac{6}{10}=\frac{3}{5}\](after reducing fraction)