How to solve -7 > 6x+17

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve -7 > 6x+17 | Equatix

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$$-7 > 6x+17$$

$x<-4$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$6x+17<-7$$

Subtract $17$ from both sides.

$$6x<-7-17$$

Subtract $17$ from $-7$ to get $-24$.

$$6x<-24$$

Divide both sides by $6$. Since $6$ is positive, the inequality direction remains the same.

$$x<\frac{-24}{6}$$

Divide $-24$ by $6$ to get $-4$.

$$x<-4$$