How to solve x=x/3+x/4+250

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=x/3+x/4+250 | Equatix

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Question

$$x=x/3+x/4+250$$

Solve for x

$x=600$

Steps for Solving Linear Equation

Combine $\frac{x}{3}$ and $\frac{x}{4}$ to get $\frac{7}{12}x$.

$$x=\frac{7}{12}x+250$$

Subtract $\frac{7}{12}x$ from both sides.

$$x-\frac{7}{12}x=250$$

Combine $x$ and $-\frac{7}{12}x$ to get $\frac{5}{12}x$.

$$\frac{5}{12}x=250$$

Multiply both sides by $\frac{12}{5}$, the reciprocal of $\frac{5}{12}$.

$$x=250\times \frac{12}{5}$$

Express $250\times \frac{12}{5}$ as a single fraction.

$$x=\frac{250\times 12}{5}$$

Multiply $250$ and $12$ to get $3000$.

$$x=\frac{3000}{5}$$

Divide $3000$ by $5$ to get $600$.

$$x=600$$

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Solve for x

Steps for Solving Linear Equation