Graph 5+8x<3(2x+4)

$5 + 8 x < 3 (2 x + 4)$

Step 1

Simplify $3 (2 x + 4)$ .

Rewrite.

$5 + 8 x < 0 + 0 + 3 (2 x + 4)$

Simplify by adding zeros.

$5 + 8 x < 3 (2 x + 4)$

Apply the distributive property.

$5 + 8 x < 3 (2 x) + 3 \cdot 4$

Multiply.

Multiply $2$ by $3$ .

$5 + 8 x < 6 x + 3 \cdot 4$

Multiply $3$ by $4$ .

$5 + 8 x < 6 x + 12$

Step 2

Move all terms containing $x$ to the left side of the inequality.

Subtract $6 x$ from both sides of the inequality.

$5 + 8 x - 6 x < 12$

Subtract $6 x$ from $8 x$ .

$5 + 2 x < 12$

Step 3

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

Subtract $5$ from both sides of the inequality.

$2 x < 12 - 5$

Subtract $5$ from $12$ .

$2 x < 7$

Step 4

Divide each term in $2 x < 7$ by $2$ and simplify.

Divide each term in $2 x < 7$ by $2$ .

$\frac{2 x}{2} < \frac{7}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{7}{2}$

Divide $x$ by $1$ .

$x < \frac{7}{2}$

Step 5