How to solve x/2=2/3x-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 x/2=2/3x-2 | Equatix

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Question

$$x/2=2/3x-2$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $2,3$.

$$3x=4x-12$$

Subtract $4x$ from both sides.

$$3x-4x=-12$$

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

$$-x=-12$$

Multiply both sides by $-1$.

$$x=12$$

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Question

Solve for x

Steps for Solving Linear Equation