Respuesta :

Answer:

x is 5

Step-by-step explanation:

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

Answer:

  • x = 5

Step-by-step 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 : -

[tex] \longmapsto \: 5(x - 4) + 12 = 17[/tex]

Step 1 : Solving parenthesis :

[tex] \longmapsto \:5x - 20 + 12 = 17[/tex]

Step 2 : Adding 20 on both sides :

[tex] \longmapsto \:5x - \cancel{20 }+ 12 + \cancel{20 }= 17 + 20[/tex]

[tex] \longmapsto \:5x + 12 = 37[/tex]

Step 3 : Subtracting 12 from both sides :

[tex] \ \longmapsto \: \:5x + \cancel{ 12} - \cancel{12} = 37 - 12[/tex]

[tex] \longmapsto \:5x = 25[/tex]

Step 3 : Dividing by 5 on both sides :

[tex] \longmapsto \: \frac{ \cancel{5}x}{ \cancel{5} } = \cancel\frac{25}{5} [/tex]

[tex] \longmapsto \: \red{ \boxed{\bold{x = 5}}}[/tex]

  • 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 .

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