Solve for m 8+2m<2(m-6)

$8 + 2 m < 2 (m - 6)$

Step 1

Simplify $2 (m - 6)$ .

Rewrite.

$8 + 2 m < 0 + 0 + 2 (m - 6)$

Simplify by adding zeros.

$8 + 2 m < 2 (m - 6)$

Apply the distributive property.

$8 + 2 m < 2 m + 2 \cdot - 6$

Multiply $2$ by $- 6$ .

$8 + 2 m < 2 m - 12$

Step 2

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

Subtract $2 m$ from both sides of the inequality.

$8 + 2 m - 2 m < - 12$

Combine the opposite terms in $8 + 2 m - 2 m$ .

Subtract $2 m$ from $2 m$ .

$8 + 0 < - 12$

Add $8$ and $0$ .

$8 < - 12$

Step 3

Since $8 > - 12$ , there are no solutions.

No solution