How to solve x/2 - 4 = 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 - 4 = x/3 - 1 | Equatix

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$\frac{x}{2}-4=\frac{x}{3}-1$$

Solve for x

$x=18$

Steps for Solving Linear Equation

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

$$3x-24=2x-6$$

Subtract $2x$ from both sides.

$$3x-24-2x=-6$$

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

$$x-24=-6$$

Add $24$ to both sides.

$$x=-6+24$$

Add $-6$ and $24$ to get $18$.

$$x=18$$

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Question

Solve for x

Steps for Solving Linear Equation