How to solve 7/9-3x=-2

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 7/9-3x=-2 | Equatix

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

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Question

$$7/9-3x=-2$$

Solve for x

$x=\frac{25}{27}\approx 0.925925926$

Steps for Solving Linear Equation

Subtract $\frac{7}{9}$ from both sides.

$$-3x=-2-\frac{7}{9}$$

Convert $-2$ to fraction $-\frac{18}{9}$.

$$-3x=-\frac{18}{9}-\frac{7}{9}$$

Since $-\frac{18}{9}$ and $\frac{7}{9}$ have the same denominator, subtract them by subtracting their numerators.

$$-3x=\frac{-18-7}{9}$$

Subtract $7$ from $-18$ to get $-25$.

$$-3x=-\frac{25}{9}$$

Divide both sides by $-3$.

$$x=\frac{-\frac{25}{9}}{-3}$$

Express $\frac{-\frac{25}{9}}{-3}$ as a single fraction.

$$x=\frac{-25}{9\left(-3\right)}$$

Multiply $9$ and $-3$ to get $-27$.

$$x=\frac{-25}{-27}$$

Fraction $\frac{-25}{-27}$ can be simplified to $\frac{25}{27}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{25}{27}$$

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Solve for x

Steps for Solving Linear Equation