Question

1/5(2x-15)+3/5x=4 1/4

Answer 1

What is x?

Answer 2

\[\frac15\left( 2x-15 \right)+\frac35x=4\frac14\]

is this correct?

Answer 3

yes

Answer 4

So like what is x? I don't understand...

Answer 5

you could multiply everything by 20 to get rid of the fractions:

Answer 6

\[\frac 15 \times 20 = 4\]
\[\frac 35 \times 20 = 4\]
\[4\frac 14 \times 20 = {17\over4}\times20=17 \times 5 = 85\]

Answer 7

**\[\frac 35 \times 20 = 12\]

Answer 8

\[4(2x-15)+12x=85 \]

Answer 9

\[8x-60+12x=85\]

Answer 10

\[20x=85+60\]\[\implies 20x=145\]\[\implies x= {145 \over 20}={29 \over 4}=\color{green}{7\frac14}\]