Question

Solve for B. R = x(A + B) B = (R - A)/x B = (A - Rx)/x B = (R - Ax)/x

Answer 1

Answer:

$\large\boxed{B=\dfrac{R-Ax}{x}}$

Step-by-step explanation:

$x(A+B)=R\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\Ax+Bx=R\qquad\text{subtract}\ Ax\ \text{from both sides}\\\\Bx=R-Ax\qquad\text{divide both sides by}\ x\neq0\\\\B=\dfrac{R-Ax}{x}$