Solve for x (5(x+1)+4)/6=4

$\frac{5 (x + 1) + 4}{6} = 4$

Step 1

Multiply both sides by $6$ .

$\frac{5 (x + 1) + 4}{6} \cdot 6 = 4 \cdot 6$

Step 2

Simplify.

Simplify the left side.

Simplify $\frac{5 (x + 1) + 4}{6} \cdot 6$ .

Simplify the numerator.

Apply the distributive property.

$\frac{5 x + 5 \cdot 1 + 4}{6} \cdot 6 = 4 \cdot 6$

Multiply $5$ by $1$ .

$\frac{5 x + 5 + 4}{6} \cdot 6 = 4 \cdot 6$

Add $5$ and $4$ .

$\frac{5 x + 9}{6} \cdot 6 = 4 \cdot 6$

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{5 x + 9}{6} \cdot 6 = 4 \cdot 6$

Rewrite the expression.

$5 x + 9 = 4 \cdot 6$

Simplify the right side.

Multiply $4$ by $6$ .

$5 x + 9 = 24$

Step 3

Solve for $x$ .

Move all terms not containing $x$ to the right side of the equation.

Subtract $9$ from both sides of the equation.

$5 x = 24 - 9$

Subtract $9$ from $24$ .

$5 x = 15$

Divide each term in $5 x = 15$ by $5$ and simplify.

Divide each term in $5 x = 15$ by $5$ .

$\frac{5 x}{5} = \frac{15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{15}{5}$

Divide $x$ by $1$ .

$x = \frac{15}{5}$

Simplify the right side.

Divide $15$ by $5$ .

$x = 3$