How to solve x/- 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 = x/3 + 1 | Equatix

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Question

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

Solve for x

$x = -\frac{6}{5} = -1\frac{1}{5} = -1.2$

Steps for Solving Linear Equation

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

$$-3x=2x+6$$

Subtract $2x$ from both sides.

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

Combine $-3x$ and $-2x$ to get $-5x$.

$$-5x=6$$

Divide both sides by $-5$.

$$x=\frac{6}{-5}$$

Fraction $\frac{6}{-5}$ can be rewritten as $-\frac{6}{5}$ by extracting the negative sign.

$$x=-\frac{6}{5}$$

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Question

Solve for x

Steps for Solving Linear Equation