Solve 462\div(x+21)-2=20 | Equatix

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Question

$$462 \div (x+21)-2=20$$

$x=0$

Variable $x$ cannot be equal to $-21$ since division by zero is not defined. Multiply both sides of the equation by $x+21$.

$$462+\left(x+21\right)\left(-2\right)=20\left(x+21\right)$$

Use the distributive property to multiply $x+21$ by $-2$.

$$462-2x-42=20\left(x+21\right)$$

Subtract $42$ from $462$ to get $420$.

$$420-2x=20\left(x+21\right)$$

Use the distributive property to multiply $20$ by $x+21$.

$$420-2x=20x+420$$

Subtract $20x$ from both sides.

$$420-2x-20x=420$$

Combine $-2x$ and $-20x$ to get $-22x$.

$$420-22x=420$$

Subtract $420$ from both sides.

$$-22x=420-420$$

Subtract $420$ from $420$ to get $0$.

$$-22x=0$$

Product of two numbers is equal to $0$ if at least one of them is $0$. Since $-22$ is not equal to $0$, $x$ must be equal to $0$.

$$x=0$$