How to solve 5(x - 2, 4) = 13x

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 5(x - 2, 4) = 13x | Equatix

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$$5(x-2,4)=13x$$

$x=-1,5$

Use the distributive property to multiply $5$ by $x-2,4$.

$$5x-12=13x$$

Subtract $13x$ from both sides.

$$5x-12-13x=0$$

Combine $5x$ and $-13x$ to get $-8x$.

$$-8x-12=0$$

Add $12$ to both sides. Anything plus zero gives itself.

$$-8x=12$$

Divide both sides by $-8$.

$$x=\frac{12}{-8}$$

Reduce the fraction $\frac{12}{-8}$ to lowest terms by extracting and canceling out $4$.

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