Question

Hello hope all is well with you. can you tell me how to do this please

Answer 1

a) x = 9

b) x = 2

Step-by-step explanation:
`a)\text{ }3x=x+x+9`

collect like terms:

`\begin{gathered} 3x=2x+9 \\ \text{subtract 2x from both sides:} \\ 3x\text{ - 2x = 2x - 2x + 9} \\ x\text{ =0 + 9} \\ x\text{ = 9} \end{gathered}`

`\begin{gathered} 3x\text{ - 2x = 2x - 2x + 9} \\ x\text{ = 0 + 9} \\ x\text{ = 9} \end{gathered}`
`\begin{gathered} \text{check: substitute the value of x in the equation} \\ 3(9)\text{ = 9 + 9 + 9} \\ 27\text{ = 27} \\ \text{left hand side = right hand side} \\ \text{Hence, it is correct} \end{gathered}`
`\begin{gathered} b)\text{ 3x + x = x+ 6} \\ \text{collect like terms:} \\ 4x\text{ = x + 6} \\ \text{subtract x from both sides:} \\ 4x\text{ - x = 6} \\ 3x\text{ = 6} \end{gathered}`
`\begin{gathered} \text{divide through by 3:} \\ (3x)/(3)=\text{ }(6)/(3) \\ x\text{ = 2} \end{gathered}`

check: replace x with 2

3(2) + 2 = 2 + 6

6 +2 = 2+ 6

8 = 8

Hence, it is correct