Question

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

Answer 1

Answer:

$\boxed{x=20}$

Solution Steps:

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1.) Combine like terms:

• $\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x$

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

Equation at the end of Step 1:

• $-17+\frac{1}{2}x+31=24$

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:

• $14+\frac{1}{2}x=24$

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:

• $\frac{1}{2}x=10$

4.) Multiply both sides by 2:

• $\frac{1}{2}x$ × $2=x$

• $10$ × $2=20$

 - 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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