Question

Describe and correct the error in solving the equation. 1/4(x-2)+4=121/4(x-2)=8x-2=2x=4

Answer 1

Step-by-step explanation:

Given that:

`(1)/(4)\left(x-2\right)+4=12`

We will simplify the equation as shown below:

`\begin{gathered} (1)/(4)(x-2)+4=12 \\ \text{Subtract ''4'' from both sides, we have:} \\ (1)/(4)(x-2)=12-4 \\ (1)/(4)(x-2)=8 \\ \text{Multiply both sides by ''4'', we have:} \\ x-2=8(4) \\ x-2=32 \\ \text{Add ''2''}to\text{ both sides, we have:} \\ x=32+2 \\ x=34 \end{gathered}`

The error was that instead of multiplying both sides by 4 at line 3 of the question, the person multiplied by 1/4