How to solve 15(x+1)-7(x+9)=4x

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

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Question

$$15(x+1)-7(x+9)=4x$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Use the distributive property to multiply $15$ by $x+1$.

$$15x+15-7\left(x+9\right)=4x$$

Use the distributive property to multiply $-7$ by $x+9$.

$$15x+15-7x-63=4x$$

Combine $15x$ and $-7x$ to get $8x$.

$$8x+15-63=4x$$

Subtract $63$ from $15$ to get $-48$.

$$8x-48=4x$$

Subtract $4x$ from both sides.

$$8x-48-4x=0$$

Combine $8x$ and $-4x$ to get $4x$.

$$4x-48=0$$

Add $48$ to both sides. Anything plus zero gives itself.

$$4x=48$$

Divide both sides by $4$.

$$x=\frac{48}{4}$$

Divide $48$ by $4$ to get $12$.

$$x=12$$

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Solve for x

Steps for Solving Linear Equation