Question

What does x equal to?

5(x - 4) + 12 = 17

Answer 1

• x = 5

Explanation:

In the question we're given with an equation that is 5(x - 4) + 12 = 17 and we are asked to find the value of x .

Solution : -

`\longmapsto \: 5(x - 4) + 12 = 17`

Step 1 : Solving parenthesis :

`\longmapsto \:5x - 20 + 12 = 17`

Step 2 : Adding 20 on both sides :

`\longmapsto \:5x - \cancel{20 }+ 12 + \cancel{20 }= 17 + 20`

`\longmapsto \:5x + 12 = 37`

Step 3 : Subtracting 12 from both sides :

`\ \longmapsto \: \:5x + \cancel{ 12} - \cancel{12} = 37 - 12`

`\longmapsto \:5x = 25`

Step 3 : Dividing by 5 on both sides :

`\longmapsto \: \frac{ \cancel{5}x}{ \cancel{5} } = \cancel(25)/(5)`

`\longmapsto \: \red{ \boxed{\bold{x = 5}}}`

• Therefore , value of x is 5

Verifying :

We are verifying our answer by substituting value of x in Given Equation :

• 5(x - 4) + 12 = 17

• 5 ( 5 - 4 ) + 12 = 17

• 5 ( 1 ) + 12 = 17

• 5 + 12 = 17

• 17 = 17

• L.H.S = R.HS.

• Hence, Verified.

Therefore , our value for x is correct .

#Keep Learning

Answer 2

x is 5

Explanation:

• First of all, expand the brackets
• This gives
  `5x-20+12=17`
• Add 20 to both sides
• 
  `5x+12=37`
• Subtract 12 from both sides
• 
  `5x=25`
• Divide both sides by 5
• 
  `x=5`