Respuesta :

Answer:

[tex] \boxed{ \bold{ \huge \boxed{ \sf{x = 18.5}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3(22 + 2) = 18 + 4(x - 5)}[/tex]

Add the numbers : 22 and 2

⇒[tex] \sf{3 \times 24 = 18 + 4(x - 5)}[/tex]

Multiply the numbers : 3 and 24

⇒[tex] \sf{72 = 18 + 4(x - 5) }[/tex]

Distribute 4 through the parentheses

⇒[tex] \sf{72 = 18 + 4x - 20}[/tex]

Calculate the difference

⇒[tex] \sf{72 = - 2 + 4x}[/tex]

Swap the sides of the equation

⇒[tex] \sf{ - 2 + 4x = 72}[/tex]

Move 2 to right hand side and change it's sign

⇒[tex] \sf{4x = 72 + 2}[/tex]

Add the numbers : 72 and 2

⇒[tex] \sf{4x = 74}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4x}{4} = \frac{74}{4} }[/tex]

Calculate

⇒[tex] \sf{x = 18.5}[/tex]

Hope I helped!

Best regards!!

Answer:

x=18.5

Step-by-step explanation:

3(22+2) =18 + 4(x-5)

3(24) = 18 + 4(x-5)

72=18+4(x-5)

4(x-5)+18=72

4x-20+18=72

4x= 72-18+20

4x=72+2

4x=74

x=74/4

x=18.5