How to solve (3x-1)/(2x+1)=2

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 (3x-1)/(2x+1)=2 | Equatix

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3(r+2s)=2t-4

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Question

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

Solve for x

$x=-3$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $-\frac{1}{2}$ since division by zero is not defined. Multiply both sides of the equation by $2x+1$.

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

Use the distributive property to multiply $2$ by $2x+1$.

$$3x-1=4x+2$$

Subtract $4x$ from both sides.

$$3x-1-4x=2$$

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

$$-x-1=2$$

Add $1$ to both sides.

$$-x=2+1$$

Add $2$ and $1$ to get $3$.

$$-x=3$$

Multiply both sides by $-1$.

$$x=-3$$

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Question

Solve for x

Steps for Solving Linear Equation