Solve 0.8*105/x=140/40-x

$$0.8 \cdot \frac { 105 } { x } = \frac { 140 } { 40 - x }$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values 0,40 since division by zero is not defined. Multiply both sides of the equation by x\left(x-40\right), the least common multiple of x,40-x.

$$0.8\left(x-40\right)\times 105=-x\times 140$$

Multiply 0.8 and 105 to get 84.

$$84\left(x-40\right)=-x\times 140$$

Use the distributive property to multiply 84 by x-40.

$$84x-3360=-x\times 140$$

Multiply -1 and 140 to get -140.

$$84x-3360=-140x$$

Add 140x to both sides.

$$84x-3360+140x=0$$

Combine 84x and 140x to get 224x.

$$224x-3360=0$$

Add 3360 to both sides. Anything plus zero gives itself.

$$224x=3360$$

Divide both sides by 224.

$$x=\frac{3360}{224}$$

Divide 3360 by 224 to get 15.

$$x=15$$