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

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Question

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

Solve for x

$x=5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $3$.

$$2x-1=3x-6$$

Subtract $3x$ from both sides.

$$2x-1-3x=-6$$

Combine $2x$ and $-3x$ to get $-x$.

$$-x-1=-6$$

Add $1$ to both sides.

$$-x=-6+1$$

Add $-6$ and $1$ to get $-5$.

$$-x=-5$$

Multiply both sides by $-1$.

$$x=5$$

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Question

Solve for x

Steps for Solving Linear Equation