How to solve x = 4/5 * (x + 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 = 4/5 * (x + 1) | Equatix

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$$x=\frac{4}{5}(x+1)$$

$x=4$

Use the distributive property to multiply $\frac{4}{5}$ by $x+1$.

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

Subtract $\frac{4}{5}x$ from both sides.

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

Combine $x$ and $-\frac{4}{5}x$ to get $\frac{1}{5}x$.

$$\frac{1}{5}x=\frac{4}{5}$$

Multiply both sides by $5$, the reciprocal of $\frac{1}{5}$.

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

Cancel out $5$ and $5$.

$$x=4$$