Solve (x + 2)/(x + 3) = 4 | 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

$$\frac{x+2}{x+3}=4$$

Solve for x

$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-3$ since division by zero is not defined. Multiply both sides of the equation by $x+3$.

$$x+2=4\left(x+3\right)$$

Use the distributive property to multiply $4$ by $x+3$.

$$x+2=4x+12$$

Subtract $4x$ from both sides.

$$x+2-4x=12$$

Combine $x$ and $-4x$ to get $-3x$.

$$-3x+2=12$$

Subtract $2$ from both sides.

$$-3x=12-2$$

Subtract $2$ from $12$ to get $10$.

$$-3x=10$$

Divide both sides by $-3$.

$$x=\frac{10}{-3}$$

Fraction $\frac{10}{-3}$ can be rewritten as $-\frac{10}{3}$ by extracting the negative sign.

$$x=-\frac{10}{3}$$