Solve the Inequality for x -7(4-x)+4>=-18+7x

$- 7 (4 - x) + 4 \geq - 18 + 7 x$

Step 1

Simplify $- 7 (4 - x) + 4$ .

Simplify each term.

Apply the distributive property.

$- 7 \cdot 4 - 7 (- x) + 4 \geq - 18 + 7 x$

Multiply $- 7$ by $4$ .

$- 28 - 7 (- x) + 4 \geq - 18 + 7 x$

Multiply $- 1$ by $- 7$ .

$- 28 + 7 x + 4 \geq - 18 + 7 x$

Add $- 28$ and $4$ .

$7 x - 24 \geq - 18 + 7 x$

Step 2

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

Subtract $7 x$ from both sides of the inequality.

$7 x - 24 - 7 x \geq - 18$

Combine the opposite terms in $7 x - 24 - 7 x$ .

Subtract $7 x$ from $7 x$ .

$0 - 24 \geq - 18$

Subtract $24$ from $0$ .

$- 24 \geq - 18$

Step 3

Since $- 24 \neq - 18$ , there are no solutions.

No solution