Solve 0.1+0.3divx=0.02

$$0.1+0.3 \div x=0.02$$

Solve for x

$$x=-3.75$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times 0.1+0.3=0.02x$$

Subtract 0.02x from both sides.

$$x\times 0.1+0.3-0.02x=0$$

Combine x\times 0.1 and -0.02x to get 0.08x.

$$0.08x+0.3=0$$

Subtract 0.3 from both sides. Anything subtracted from zero gives its negation.

$$0.08x=-0.3$$

Divide both sides by 0.08.

$$x=\frac{-0.3}{0.08}$$

Expand \frac{-0.3}{0.08} by multiplying both numerator and the denominator by 100.

$$x=\frac{-30}{8}$$

Reduce the fraction \frac{-30}{8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{15}{4}$$