Question

Solve for x:6/7 (x+3)=4

Answer 1

`x=(5)/(6)`

Step-by-step explanation

`(6)/(7)(x+3)=4`

Step 1

Multiply both sides by 7

`\begin{gathered} (6)/(7)(x+3)=4 \\ (6)/(7)(x+3)\cdot7=4\cdot7 \\ 6(x+3)=28 \end{gathered}`

Step 2

apply distributive property to break the parenthesis

`\begin{gathered} 6(x+3)=28 \\ 6x+18=23 \end{gathered}`

Step 3

subtract 18 in both sides

`\begin{gathered} 6x+18=23 \\ 6x+18-18=23-18 \\ 6x=5 \end{gathered}`

Step 4

Finally, divide both sides by 6

`\begin{gathered} 6x=5 \\ (6x)/(6)=(5)/(6) \\ x=(5)/(6) \end{gathered}`

I hope this helps you