Solve 0.6=x*57*10^-3/38*10^-2

$$0.6= \frac{ x \times 57 \times { 10 }^{ -3 } }{ 38 \times { 10 }^{ -2 } }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Cancel out 19 in both numerator and denominator.

$$0.6=\frac{3\times 10^{-3}x}{2\times 10^{-2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$0.6=\frac{3x}{2\times 10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$0.6=\frac{3x}{2\times 10}$$

Multiply 2 and 10 to get 20.

$$0.6=\frac{3x}{20}$$

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

$$\frac{3x}{20}=0.6$$

Multiply both sides by 20.

$$3x=0.6\times 20$$

Multiply 0.6 and 20 to get 12.

$$3x=12$$

Divide both sides by 3.

$$x=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x=4$$