Question

What is the solution of the equation of 2(2x-5)= 3x + x - 2x

Answer 1

The Solution:

Given the equation:

`2(2x-5)=3x+x-2x`

We are asked to solve for x.

Step 1:

Clear the bracket.

`\begin{gathered} 4x-10=3x+x-2x \\ 4x-10=4x-2x \\ 4x-10=2x \end{gathered}`

Step 2:

Subtracting 4x from both sides, we get

`\begin{gathered} 4x-4x-10=2x-4x \\ \\ -10=-2x \end{gathered}`

Step 3:

Divide both sides by -2, we get

`\begin{gathered} (-10)/(-2)=(-2x)/(-2) \\ \\ 5=x \\ x=5 \end{gathered}`

Therefore, the correct answer is: x = 5