Question

-17+ 1/4 x + 1/4 x + 31 = 24

Answer 1

`\boxed{x=20}`

Solution Steps:

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1.) Combine like terms:

• 
  `(1)/(4)x+(1)/(4)x=(1)/(2)x`

- We do this because we need 1 Number/Variable left over.

Equation at the end of Step 1:

• 
  `-17+(1)/(2)x+31=24`

2.) Add −17 and 31:

• 
  `-17+31=14`

- We do this because we can only have 1 number on each side of the equals. (This doesn't count towards the number connected to the variable.)

Equation at the end of Step 2:

• 
  `14+(1)/(2)x=24`

3.) Subtract 14 from both sides:

• 
  `14-14=` Cancels Out

• 
  `24-14=10`

- We do this because now we just need the 1 variable and the 1 number on opposite sides of the equal.

Equation at the end of Step 3:

• 
  `(1)/(2)x=10`

4.) Multiply both sides by 2:

• 
  `(1)/(2)x` ×
  `2=x`

• 
  `10` ×
  `2=20`

- We multiply by 2 since we have a fraction. In this case the reciprocal is 2 meaning we multiply by 2.

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