Solve 2(4xw)+2w=140

$$2 ( 4 x w ) + 2 w = 140$$

Solve for w

$$w=\frac{70}{4x+1}$$

$$x\neq -\frac{1}{4}$$

Steps for Solving Linear Equation

Multiply 2 and 4 to get 8.

$$8xw+2w=140$$

Combine all terms containing w.

$$\left(8x+2\right)w=140$$

Divide both sides by 8x+2.

$$\frac{\left(8x+2\right)w}{8x+2}=\frac{140}{8x+2}$$

Dividing by 8x+2 undoes the multiplication by 8x+2.

$$w=\frac{140}{8x+2}$$

Divide 140 by 8x+2.

$$w=\frac{70}{4x+1}$$

Solve for x

$$x=-\frac{1}{4}+\frac{35}{2w}$$

$$w\neq 0$$

Steps for Solving Linear Equation

Multiply 2 and 4 to get 8.

$$8xw+2w=140$$

Subtract 2w from both sides.

$$8xw=140-2w$$

The equation is in standard form.

$$8wx=140-2w$$

Divide both sides by 8w.

$$\frac{8wx}{8w}=\frac{140-2w}{8w}$$

Dividing by 8w undoes the multiplication by 8w.

$$x=\frac{140-2w}{8w}$$

Divide 140-2w by 8w.

$$x=-\frac{1}{4}+\frac{35}{2w}$$