Answer:
[tex]\dfrac{1}{2}x-10=-13[/tex]
Step-by-step explanation:
Let x be the unknown number.
Given:
- Half of a number → ¹/₂x
- Decreased by 10 → -10
- Is -13 → = -13
Therefore, the equation is:
[tex]\boxed{\dfrac{1}{2}x-10=-13}[/tex]
Solving for x
To solve, add 10 to both sides:
[tex]\implies \dfrac{1}{2}x-10+10=-13+10[/tex]
[tex]\implies \dfrac{1}{2}x=-3[/tex]
Multiply both sides by 2:
[tex]\implies 2 \cdot \dfrac{1}{2}x=2 \cdot -3[/tex]
[tex]\implies x=-6[/tex]
