Solve 400*0.08/400+x=0.04

$$\frac{ 400 \times 0.08 }{ 400+x } =0.04$$

Solve for x

$$x=400$$

Steps for Solving Linear Equation

Variable x cannot be equal to -400 since division by zero is not defined. Multiply both sides of the equation by x+400.

$$400\times 0.08=0.04\left(x+400\right)$$

Multiply 400 and 0.08 to get 32.

$$32=0.04\left(x+400\right)$$

Use the distributive property to multiply 0.04 by x+400.

$$32=0.04x+16$$

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

$$0.04x+16=32$$

Subtract 16 from both sides.

$$0.04x=32-16$$

Subtract 16 from 32 to get 16.

$$0.04x=16$$

Divide both sides by 0.04.

$$x=\frac{16}{0.04}$$

Expand \frac{16}{0.04} by multiplying both numerator and the denominator by 100.

$$x=\frac{1600}{4}$$

Divide 1600 by 4 to get 400.

$$x=400$$