Solve p=3/5(wb+x)

$$p = \frac { 3 } { 5 } ( w b + x )$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=-\frac{3x-5p}{3w}\text{, }&w\neq 0\\b\in \mathrm{C}\text{, }&p=\frac{3x}{5}\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{5} by wb+x.

$$p=\frac{3}{5}wb+\frac{3}{5}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{5}wb+\frac{3}{5}x=p$$

Subtract \frac{3}{5}x from both sides.

$$\frac{3}{5}wb=p-\frac{3}{5}x$$

The equation is in standard form.

$$\frac{3w}{5}b=-\frac{3x}{5}+p$$

Divide both sides by \frac{3}{5}w.

$$\frac{5\times \frac{3w}{5}b}{3w}=\frac{5\left(-\frac{3x}{5}+p\right)}{3w}$$

Dividing by \frac{3}{5}w undoes the multiplication by \frac{3}{5}w.

$$b=\frac{5\left(-\frac{3x}{5}+p\right)}{3w}$$

Divide p-\frac{3x}{5} by \frac{3}{5}w.

$$b=\frac{5p-3x}{3w}$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{3x-5p}{3w}\text{, }&w\neq 0\\b\in \mathrm{R}\text{, }&p=\frac{3x}{5}\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{5} by wb+x.

$$p=\frac{3}{5}wb+\frac{3}{5}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{5}wb+\frac{3}{5}x=p$$

Subtract \frac{3}{5}x from both sides.

$$\frac{3}{5}wb=p-\frac{3}{5}x$$

The equation is in standard form.

$$\frac{3w}{5}b=-\frac{3x}{5}+p$$

Divide both sides by \frac{3}{5}w.

$$\frac{5\times \frac{3w}{5}b}{3w}=\frac{5\left(-\frac{3x}{5}+p\right)}{3w}$$

Dividing by \frac{3}{5}w undoes the multiplication by \frac{3}{5}w.

$$b=\frac{5\left(-\frac{3x}{5}+p\right)}{3w}$$

Divide p-\frac{3x}{5} by \frac{3}{5}w.

$$b=\frac{5p-3x}{3w}$$

Solve for p

$$p=\frac{3\left(x+bw\right)}{5}$$

Solution Steps

Use the distributive property to multiply \frac{3}{5} by wb+x.

$$p=\frac{3}{5}wb+\frac{3}{5}x$$