# Thread: Equations with parentheses: Word problem skills

1. ## Equations with parentheses: Word problem skills

how to solve?

x+(x-25) =2(x-25) = $365 2. Originally Posted by gedprep how to solve? x+(x-25) =2(x-25) =$365
An equation has only one equal (=) sign. I don't know what the = $365 means. Are you sure you copied the equation correctly? I'll attempt the solution by ignoring the$365.

$\displaystyle x+(x-25)=2(x-25)$

Firse, since a + precedes the group on the left side of the equation, simply remove the parentheses. Nothing changes.

$\displaystyle x+x-25=2(x-25)$

Distribute (multiply) the 2 across the difference (x-25) on the right side.

$\displaystyle x+x-25=2x-50$

Combine terms on the left side.

$\displaystyle 2x-25=2x-50$

Subtract 2x from both sides.

$\displaystyle 2x-25-2x=2x-50-2x$

$\displaystyle -25=-50$

This is a false statement. Therefore the equation has no solution. I feel like there's an error in the way you presented your problem. Check it and re-post if necessary.