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

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

Solve for x

$x=14$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply $x+2$ by $3$.

$$3x+6=\left(x-2\right)\times 4$$

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

$$3x+6=4x-8$$

Subtract $4x$ from both sides.

$$3x+6-4x=-8$$

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

$$-x+6=-8$$

Subtract $6$ from both sides.

$$-x=-8-6$$

Subtract $6$ from $-8$ to get $-14$.

$$-x=-14$$

Multiply both sides by $-1$.

$$x=14$$