Solve 4(- 3m - 5) + 3m < - 83 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$4(-3m-5)+3m<-83$$

Solve for m

$m>7$

Solution Steps

Use the distributive property to multiply $4$ by $-3m-5$.

$$-12m-20+3m<-83$$

Combine $-12m$ and $3m$ to get $-9m$.

$$-9m-20<-83$$

Add $20$ to both sides.

$$-9m<-83+20$$

Add $-83$ and $20$ to get $-63$.

$$-9m<-63$$

Divide both sides by $-9$. Since $-9$ is negative, the inequality direction is changed.

$$m>\frac{-63}{-9}$$

Divide $-63$ by $-9$ to get $7$.

$$m>7$$