Question

What is the solution to 7x - 2(2x - 9) = 2(x - 5) ?

Answer 1

The equation given is:

`7x-2\mleft(2x-9\mright)=2\mleft(x-5\mright)`

We can use the distributive property [a(b+c) = ab + ac] to expand:

`7x-4x+18=2x-10`

Now we can add like terms, simplify, and solve for x:

`\begin{gathered} 3x+18=2x-10 \\ 3x-2x=-10-18 \\ x=-28 \end{gathered}`

Answer:

x = - 28