How to solve 4(x+7)=9(x-1)+22

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 4(x+7)=9(x-1)+22 | Equatix

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Question

$$4(x+7)=9(x-1)+22$$

Solve for x

$x=3$

Steps for Solving Linear Equation

Use the distributive property to multiply $4$ by $x+7$.

$$4x+28=9\left(x-1\right)+22$$

Use the distributive property to multiply $9$ by $x-1$.

$$4x+28=9x-9+22$$

Add $-9$ and $22$ to get $13$.

$$4x+28=9x+13$$

Subtract $9x$ from both sides.

$$4x+28-9x=13$$

Combine $4x$ and $-9x$ to get $-5x$.

$$-5x+28=13$$

Subtract $28$ from both sides.

$$-5x=13-28$$

Subtract $28$ from $13$ to get $-15$.

$$-5x=-15$$

Divide both sides by $-5$.

$$x=\frac{-15}{-5}$$

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

$$x=3$$

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Solve for x

Steps for Solving Linear Equation