Question

Solve the equation above for X.

Answer 1

`\large\boxed{\tt x = 444.}`

Explanation:

`\textsf{We are asked to solve for x in the given equation.}`

`\textsf{Note that our goal is to leave x alone on the left side of the equation. In order}`

`\textsf{to do so we will need to use the \underline{Properties of Equality}.}`

`\large\underline{\textsf{What are the Properties of Equality?}}`

`\textsf{Properties of Equality are 9 Properties that allows us to manipulate equations}`

`\textsf{to, commonly find unknown variables or to determine if equations are true.}`

`\textsf{For our problem, we will be using 2 out of 9 of these properties as we need to}`

`\textsf{isolate x, and make sure x is 1x.}`

`\large\underline{\textsf{Solving for x;}}`

`\tt (1)/(2) x-41=181`

`\textsf{Let's first use the Addition Property of Equality where the equation will be equal}`

`\textsf{if we add the same number to both sides of the equation. Let's start by adding}`

`\textsf{41 to both sides of the equation.}`

`\tt (1)/(2) x-41+41=181+41`

`\tt (1)/(2) x = 222`

`\textsf{Next, let's use the Multiplication Property of Equality where the equation is}`

`\textsf{equal if we multiply the same number to both sides of the equation. Let's}`

`\textsf{multiply 2 to both sides of the equation to cancel out} \ \tt (1)/(2) .`

`\tt 2 * (1)/(2) x = 222 * 2`

`\large\boxed{\tt x = 444.}`