How to solve x/2 + x/3 = x - 7

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 = x - 7 | Equatix

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Question

$$\frac{x}{2}+\frac{x}{3}=x-7$$

Solve for x

$x=42$

Steps for Solving Linear Equation

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

$$3x+2x=6x-42$$

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

$$5x=6x-42$$

Subtract $6x$ from both sides.

$$5x-6x=-42$$

Combine $5x$ and $-6x$ to get $-x$.

$$-x=-42$$

Multiply both sides by $-1$.

$$x=42$$

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Question

Solve for x

Steps for Solving Linear Equation