Solve 350*0.75/350+x=0.4

$$\frac{ 350 \times 0.75 }{ 350+x } = 0.4$$

Solve for x

$$x=306.25$$

Steps for Solving Linear Equation

Variable x cannot be equal to -350 since division by zero is not defined. Multiply both sides of the equation by x+350.

$$350\times 0.75=0.4\left(x+350\right)$$

Multiply 350 and 0.75 to get 262.5.

$$262.5=0.4\left(x+350\right)$$

Use the distributive property to multiply 0.4 by x+350.

$$262.5=0.4x+140$$

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

$$0.4x+140=262.5$$

Subtract 140 from both sides.

$$0.4x=262.5-140$$

Subtract 140 from 262.5 to get 122.5.

$$0.4x=122.5$$

Divide both sides by 0.4.

$$x=\frac{122.5}{0.4}$$

Expand \frac{122.5}{0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{1225}{4}$$