How to solve 2x - 9 < 6 + 5x

Q: How to solve 2x - 9 < 6 + 5x

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 2x - 9 < 6 + 5x | Equatix

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Question

$$2x-9<6+5x$$

Solve for x

$x>-5$

Solution Steps

Subtract $5x$ from both sides.

$$2x-9-5x<6$$

Combine $2x$ and $-5x$ to get $-3x$.

$$-3x-9<6$$

Add $9$ to both sides.

$$-3x<6+9$$

Add $6$ and $9$ to get $15$.

$$-3x<15$$

Divide both sides by $-3$. Since $-3$ is negative, the inequality direction is changed.

$$x>\frac{15}{-3}$$

Divide $15$ by $-3$ to get $-5$.

$$x>-5$$

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