How to solve 56/40 = (6x)/4

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 56/40 = (6x)/4 | Equatix

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$$\frac{56}{40}=\frac{6x}{4}$$

$x=\frac{14}{15}\approx 0.933333333$

Multiply both sides of the equation by $40$, the least common multiple of $40,4$.

$$56=10\times 6x$$

Multiply $10$ and $6$ to get $60$.

$$56=60x$$

Swap sides so that all variable terms are on the left hand side.

$$60x=56$$

Divide both sides by $60$.

$$x=\frac{56}{60}$$

Reduce the fraction $\frac{56}{60}$ to lowest terms by extracting and canceling out $4$.

$$x=\frac{14}{15}$$