Question

Solve the following equation for x. 1 5x + 3x = 2x + 42 V =

Answer 1

The first step is to combine like terms on the left-hand side of the equation. Doing this gives us

`((1)/(5)+3)x=2x+42`
`\Rightarrow(16)/(5)x=2x+42`

Now we subtract 2x from both sides and we get

`((16)/(5)-2)x=42`
`\Rightarrow(6)/(5)x=42`

And finally, we multiply both sides of the equation by the recipricol of 6 / 5 and this gives

`(5)/(6)*(6)/(5)x=42*(5)/(6)`

which simplifies to

`\textcolor{#FF7968}{x=35}\text{\textcolor{#FF7968}{. }}`

Hence, our answer is x = 35.