Solve for x (4x)/6=8

$\frac{4 x}{6} = 8$

Step 1

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4 x$ .

$\frac{2 (2 x)}{6} = 8$

Cancel the common factors.

Factor $2$ out of $6$ .

$\frac{2 (2 x)}{2 (3)} = 8$

Cancel the common factor.

$\frac{2 (2 x)}{2 \cdot 3} = 8$

Rewrite the expression.

$\frac{2 x}{3} = 8$

$\frac{2 x}{3} = 8$

$\frac{2 x}{3} = 8$

Step 2

Multiply both sides by $3$ .

$\frac{2 x}{3} \cdot 3 = 8 \cdot 3$

Step 3

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2 x}{3} \cdot 3 = 8 \cdot 3$

Rewrite the expression.

$2 x = 8 \cdot 3$

$2 x = 8 \cdot 3$

$2 x = 8 \cdot 3$

Simplify the right side.

Multiply $8$ by $3$ .

$2 x = 24$

$2 x = 24$

$2 x = 24$

Step 4

Divide each term in $2 x = 24$ by $2$ and simplify.

Divide each term in $2 x = 24$ by $2$ .

$\frac{2 x}{2} = \frac{24}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{24}{2}$

Divide $x$ by $1$ .

$x = \frac{24}{2}$

$x = \frac{24}{2}$

$x = \frac{24}{2}$

Simplify the right side.

Divide $24$ by $2$ .

$x = 12$

$x = 12$

$x = 12$

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