Solve 8left(m-3right)-5left(3m+1right)geq-2left(2+4mright)

$$8 \left( m-3 \right) -5 \left( 3m+1 \right) \geq -2 \left( 2+4m \right)$$

Solve for m

$$m\geq 25$$

Solution Steps

Use the distributive property to multiply 8 by m-3.

$$8m-24-5\left(3m+1\right)\geq -2\left(2+4m\right)$$

Use the distributive property to multiply -5 by 3m+1.

$$8m-24-15m-5\geq -2\left(2+4m\right)$$

Combine 8m and -15m to get -7m.

$$-7m-24-5\geq -2\left(2+4m\right)$$

Subtract 5 from -24 to get -29.

$$-7m-29\geq -2\left(2+4m\right)$$

Use the distributive property to multiply -2 by 2+4m.

$$-7m-29\geq -4-8m$$

Add 8m to both sides.

$$-7m-29+8m\geq -4$$

Combine -7m and 8m to get m.

$$m-29\geq -4$$

Add 29 to both sides.

$$m\geq -4+29$$

Add -4 and 29 to get 25.

$$m\geq 25$$