Answer:
[tex]\boxed{x=20}[/tex]
Solution Steps:
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1.) Combine like terms:
- [tex]\frac{1}{4}x+\frac{1}{4}x=\frac{1}{2}x[/tex]
- We do this because we need 1 Number/Variable left over.
Equation at the end of Step 1:
- [tex]-17+\frac{1}{2}x+31=24[/tex]
2.) Add −17 and 31:
- 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:
- [tex]14+\frac{1}{2}x=24[/tex]
3.) Subtract 14 from both sides:
- [tex]14-14=[/tex] Cancels Out
- 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:
- [tex]\frac{1}{2}x=10[/tex]
4.) Multiply both sides by 2:
- [tex]\frac{1}{2}x[/tex] × [tex]2=x[/tex]
- [tex]10[/tex] × [tex]2=20[/tex]
- 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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