How to solve x/2 - 2 = x/3; 1

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 = x/3; 1 | Equatix

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

$y=1$

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

$$3x-12=2x$$

Subtract $2x$ from both sides.

$$3x-12-2x=0$$

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

$$x-12=0$$

Add $12$ to both sides. Anything plus zero gives itself.

$$x=12$$

The system is now solved.

$$x=12$$ $$y=1$$