Graph 3(7x+17)>-19+14x

$3 (7 x + 17) > - 19 + 14 x$

Simplify $3 (7 x + 17)$ .

Rewrite.

$0 + 0 + 3 (7 x + 17) > - 19 + 14 x$

Simplify by adding zeros.

$3 (7 x + 17) > - 19 + 14 x$

Apply the distributive property.

$3 (7 x) + 3 \cdot 17 > - 19 + 14 x$

Multiply.

Multiply $7$ by $3$ .

$21 x + 3 \cdot 17 > - 19 + 14 x$

Multiply $3$ by $17$ .

$21 x + 51 > - 19 + 14 x$

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

Subtract $14 x$ from both sides of the inequality.

$21 x + 51 - 14 x > - 19$

Subtract $14 x$ from $21 x$ .

$7 x + 51 > - 19$

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

Subtract $51$ from both sides of the inequality.

$7 x > - 19 - 51$

Subtract $51$ from $- 19$ .

$7 x > - 70$

Divide each term in $7 x > - 70$ by $7$ and simplify.

Divide each term in $7 x > - 70$ by $7$ .

$\frac{7 x}{7} > \frac{- 70}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} > \frac{- 70}{7}$

Divide $x$ by $1$ .

$x > \frac{- 70}{7}$

Simplify the right side.

Divide $- 70$ by $7$ .

$x > - 10$