How to solve 7x-1/3+6=2x+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 7x-1/3+6=2x+7 | Equatix

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Question

$$7x-1/3+6=2x+7$$

Solve for x

$x=\frac{4}{15}\approx 0.266666667$

Steps for Solving Linear Equation

Convert $6$ to fraction $\frac{18}{3}$.

$$7x-\frac{1}{3}+\frac{18}{3}=2x+7$$

Since $-\frac{1}{3}$ and $\frac{18}{3}$ have the same denominator, add them by adding their numerators.

$$7x+\frac{-1+18}{3}=2x+7$$

Add $-1$ and $18$ to get $17$.

$$7x+\frac{17}{3}=2x+7$$

Subtract $2x$ from both sides.

$$7x+\frac{17}{3}-2x=7$$

Combine $7x$ and $-2x$ to get $5x$.

$$5x+\frac{17}{3}=7$$

Subtract $\frac{17}{3}$ from both sides.

$$5x=7-\frac{17}{3}$$

Convert $7$ to fraction $\frac{21}{3}$.

$$5x=\frac{21}{3}-\frac{17}{3}$$

Since $\frac{21}{3}$ and $\frac{17}{3}$ have the same denominator, subtract them by subtracting their numerators.

$$5x=\frac{21-17}{3}$$

Subtract $17$ from $21$ to get $4$.

$$5x=\frac{4}{3}$$

Divide both sides by $5$.

$$x=\frac{\frac{4}{3}}{5}$$

Express $\frac{\frac{4}{3}}{5}$ as a single fraction.

$$x=\frac{4}{3\times 5}$$

Multiply $3$ and $5$ to get $15$.

$$x=\frac{4}{15}$$

Show Solution