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earnstyle [38]
3 years ago
6

Show the steps to get full credit 3 (22 + 2) = 18 + 4(x – 5)

Mathematics
2 answers:
Alja [10]3 years ago
8 0

Answer:

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

Step-by-step explanation:

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

Add the numbers : 22 and 2

⇒\sf{3 \times 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{ \frac{4x}{4}  =  \frac{74}{4} }

Calculate

⇒\sf{x = 18.5}

Hope I helped!

Best regards!!

vodka [1.7K]3 years ago
4 0

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

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