Solve 0.6divx=7div42

$$0.6 \div x=7 \div 42$$

Solve for x

$$x=3.6$$

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 42x, the least common multiple of x,42.

$$42\times 0.6=x\times 7$$

Multiply 42 and 0.6 to get 25.2.

$$25.2=x\times 7$$

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

$$x\times 7=25.2$$

Divide both sides by 7.

$$x=\frac{25.2}{7}$$

Expand \frac{25.2}{7} by multiplying both numerator and the denominator by 10.

$$x=\frac{252}{70}$$

Reduce the fraction \frac{252}{70} to lowest terms by extracting and canceling out 14.

$$x=\frac{18}{5}$$