Solve 836/18+θ*x=36+x

$$8 \frac{ 36 }{ 18 } + \theta \times x=36+x$$

Solve for x

$$x=\frac{26}{\theta -1}$$

$$\theta \neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18.

$$8\times 18+36+18\theta x=648+18x$$

Multiply 8 and 18 to get 144.

$$144+36+18\theta x=648+18x$$

Add 144 and 36 to get 180.

$$180+18\theta x=648+18x$$

Subtract 18x from both sides.

$$180+18\theta x-18x=648$$

Subtract 180 from both sides.

$$18\theta x-18x=648-180$$

Subtract 180 from 648 to get 468.

$$18\theta x-18x=468$$

Combine all terms containing x.

$$\left(18\theta -18\right)x=468$$

Divide both sides by 18\theta -18.

$$\frac{\left(18\theta -18\right)x}{18\theta -18}=\frac{468}{18\theta -18}$$

Dividing by 18\theta -18 undoes the multiplication by 18\theta -18.

$$x=\frac{468}{18\theta -18}$$

Divide 468 by 18\theta -18.

$$x=\frac{26}{\theta -1}$$

Solve for θ

$$\theta =\frac{x+26}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18.

$$8\times 18+36+18\theta x=648+18x$$

Multiply 8 and 18 to get 144.

$$144+36+18\theta x=648+18x$$

Add 144 and 36 to get 180.

$$180+18\theta x=648+18x$$

Subtract 180 from both sides.

$$18\theta x=648+18x-180$$

Subtract 180 from 648 to get 468.

$$18\theta x=468+18x$$

The equation is in standard form.

$$18x\theta =18x+468$$

Divide both sides by 18x.

$$\frac{18x\theta }{18x}=\frac{18x+468}{18x}$$

Dividing by 18x undoes the multiplication by 18x.

$$\theta =\frac{18x+468}{18x}$$

Divide 468+18x by 18x.

$$\theta =\frac{x+26}{x}$$