Question

What is the value of x in the equation 5(3x + 4) = 23?

Answer 1

`x = \frac { 1 } { 5 }`

Explanation:

We are given the following equation and we are to find the value of x by making it the subject of the equation:

`5 ( 3 x + 4 ) = 23`

We will start by opening the brackets and expanding the term by multiplying 5 with the terms inside the brackets to get:

`15 x + 20 = 23`

`15 x = 23 - 20`

`15 x = 3`

`x = \frac { 3 }  { 15 }`

`x = \frac { 1 } { 5 }`

Answer 2

`\huge\text{$x=\boxed{(1)/(5)}$}`

Hey there! To solve this problem, we need to isolate
`x` on one side of the equation.

`\begin{aligned}5(3x+4)&=23\\5\cdot3x+5\cdot4&=23&&\smash\Big&&\text{Distribute the $5$.}\\15x+20&=23&&\smash\Big&&\text{Multiply.}\\15x&=3&&\smash\Big&&\text{Subtract $20$ from both sides.}\\x&=(3)/(15)&&\smash\Big&&\text{Divide both sides by $15$.}\\x&=\boxed{(1)/(5)}&&\smash\Big&&\text{Divide the numerator and denominator by $3$.}\end{aligned}`