Solve 3/(x + 2) = 4/(x + 1) | 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

$$\frac{3}{x+2}=\frac{4}{x+1}$$

Solve for x

$x=-5$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to any of the values $-2,-1$ since division by zero is not defined. Multiply both sides of the equation by $\left(x+1\right)\left(x+2\right)$, the least common multiple of $x+2,x+1$.

$$\left(x+1\right)\times 3=\left(x+2\right)\times 4$$

Use the distributive property to multiply $x+1$ by $3$.

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

Use the distributive property to multiply $x+2$ by $4$.

$$3x+3=4x+8$$

Subtract $4x$ from both sides.

$$3x+3-4x=8$$

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

$$-x+3=8$$

Subtract $3$ from both sides.

$$-x=8-3$$

Subtract $3$ from $8$ to get $5$.

$$-x=5$$

Multiply both sides by $-1$.

$$x=-5$$