Solve the Inequality for x -7(3x-7)+21x>=50

$- 7 (3 x - 7) + 21 x \geq 50$

Simplify $- 7 (3 x - 7) + 21 x$ .

Simplify each term.

Apply the distributive property.

$- 7 (3 x) - 7 \cdot - 7 + 21 x \geq 50$

Multiply $3$ by $- 7$ .

$- 21 x - 7 \cdot - 7 + 21 x \geq 50$

Multiply $- 7$ by $- 7$ .

$- 21 x + 49 + 21 x \geq 50$

Combine the opposite terms in $- 21 x + 49 + 21 x$ .

Add $- 21 x$ and $21 x$ .

$0 + 49 \geq 50$

Add $0$ and $49$ .

$49 \geq 50$

Since $49 \neq 50$ , there are no solutions.

No solution