Question

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3 (22 + 2) = 18 + 4(x – 5)

Answer 1

x=18.5

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

Answer 2

`\boxed{ \bold{ \huge \boxed{ \sf{x = 18.5}}}}`

Explanation:

`\sf{3(22 + 2) = 18 + 4(x - 5)}`

Add the numbers : 22 and 2

⇒
`\sf{3 * 24 = 18 + 4(x - 5)}`

Multiply the numbers : 3 and 24

⇒
`\sf{72 = 18 + 4(x - 5) }`

Distribute 4 through the parentheses

⇒
`\sf{72 = 18 + 4x - 20}`

Calculate the difference

⇒
`\sf{72 = - 2 + 4x}`

Swap the sides of the equation

⇒
`\sf{ - 2 + 4x = 72}`

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

⇒
`\sf{4x = 72 + 2}`

Add the numbers : 72 and 2

⇒
`\sf{4x = 74}`

Divide both sides of the equation by 4

⇒
`\sf{ (4x)/(4) = (74)/(4) }`

Calculate

⇒
`\sf{x = 18.5}`

Hope I helped!

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