Solve for x 4.2/(3x)=7

$\frac{4.2}{3 x} = 7$

Step 1

Factor each term.

Factor $4.2$ out of $4.2$ .

$\frac{4.2 (1)}{3 x} = 7$

Factor $3$ out of $3 x$ .

$\frac{4.2 (1)}{3 (x)} = 7$

Separate fractions.

$\frac{4.2}{3} \cdot \frac{1}{x} = 7$

Divide $4.2$ by $3$ .

$1.4 \frac{1}{x} = 7$

Combine $1.4$ and $\frac{1}{x}$ .

$\frac{1.4}{x} = 7$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $\frac{1.4}{x} = 7$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{1.4}{x} = 7$ by $x$ .

$\frac{1.4}{x} x = 7 x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{1.4}{x} x = 7 x$

Rewrite the expression.

$1.4 = 7 x$

Step 4

Solve the equation.

Rewrite the equation as $7 x = 1.4$ .

$7 x = 1.4$

Divide each term in $7 x = 1.4$ by $7$ and simplify.

Divide each term in $7 x = 1.4$ by $7$ .

$\frac{7 x}{7} = \frac{1.4}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{1.4}{7}$

Divide $x$ by $1$ .

$x = \frac{1.4}{7}$

Simplify the right side.

Divide $1.4$ by $7$ .

$x = 0.2$