Question

Solve each equation for x. a(x-b)+bx+c=a+b

Answer 1

Answer:

$x=\frac{ab+a+b-c}{a+b}$

Step-by-step explanation:

a(x−b)+bx+c=a+b

Step 1: Add ab to both sides.

−ab+ax+bx+c+ab=a+b+ab

ax+bx+c=ab+a+b

Step 2: Add -c to both sides.

ax+bx+c+−c=ab+a+b+−c

ax+bx=ab+a+b−c

Step 3: Factor out variable x.

x(a+b)=ab+a+b−c

Step 4: Divide both sides by a+b.

$\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}$

$x=\frac{ab+a+b-c}{a+b}$

Hope this helped! :)