2x(x-2)=x+3

2x-2=x+3
What error has been made in solving this equation, and what could be done to aviod this error?

The 2x was NOT multiplied by the contents of the parenthsis. Should have been 2x2 - 4x

The error made in solving this equation is not multiplying the 2x by the contents of the parentheses when expanding the equation. To avoid this error, it is important to properly apply the distributive property when multiplying expressions.

To correct the equation 2x(x-2)=x+3, you would distribute the 2x to both terms inside the parentheses:

2x(x-2) becomes 2x * x - 2x * 2.

This results in 2x^2 - 4x = x + 3.

Now you can proceed to solve the equation by simplifying and rearranging terms.