Question

5x-2=3(x+4)
What is the value of X

Answer 1

`\sf \: x = 7`

Explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 5x - 2 = 3(x + 4)

Then the value of x will be,

→ 5x - 2 = 3(x + 4)

→ 5x - 2 = 3(x) + 3(4)

→ 5x - 2 = 3x + 12

→ 5x - 3x = 12 + 2

→ 2x = 14

→ x = 14 ÷ 2

→ [ x = 7 ]

Hence, the value of x is 7.

Answer 2

`\large\boxed{\textsf{x = 7}}`

Explanation:

`\textsf{For this problem, we are asked to find the value of x.}`

`\textsf{We should simply isolate the x so that it's only on one side.}`

`\large\underline{\textsf{How?}}`

`\textsf{Simply use the Distributive Property for the right side of the equation.}`

`\textsf{Simplify the equation to where x is by itself.}`

`\large\underline{\textsf{What is the Distributive Property?}}`

`\textsf{The Distributive Property is a Property that allow us to distribute expressions further.}`

`\textsf{Commonly, the form is a(b+c); Where b and c are multiplied by a.}`

`\large\underline{\textsf{Use the Distributive Property;}}`

`\mathtt{5x-2=3(x+4)}`

`\mathtt{5x-2=(3 * x)+(3 * 4)}`

`\mathtt{5x-2=3x+12}`

`\large\underline{\textsf{Add 2 to Both Sides of the Equation;}}`

`\mathtt{5x-2 \ \underline{+ \ 2}=3x+12 \ \underline{+ \ 2}}`

`\mathtt{5x=3x+14}`

`\large\underline{\textsf{Subtract 3x from Both Sides of the Equation;}}`

`\mathtt{5x-3x=3x-3x+14}`

`\mathtt{2x=14}`

`\large\underline{\textsf{Divide the Whole Equation by 2;}}`

`\mathtt{(2x)/(2) = (14)/(2) }`

`\large\boxed{\textsf{x = 7}}`