How to solve (10)/(16)=(5)/(x)

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 (10)/(16)=(5)/(x) | Equatix

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Question

$$\frac{ 10 }{ 16 } = \frac{ 5 }{ x }$$

Solve for x

$x=8$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $16x$, the least common multiple of $16,x$.

$$x\times 10=16\times 5$$

Multiply $16$ and $5$ to get $80$.

$$x\times 10=80$$

Divide both sides by $10$.

$$x=\frac{80}{10}$$

Divide $80$ by $10$ to get $8$.

$$x=8$$

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