Solve $x / 10=-7$
A) $x=3$
B) $x=-70$
C) $x=-0.7$
D) $x=-17$

The solution to the equation 10 x ​ = − 7 is x = − 70 . Therefore, the correct multiple-choice option is B. This is obtained by multiplying both sides of the equation by 10 to eliminate the fraction.
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Answered by Anonymous | 2025-07-07

Multiply both sides of the equation by 10: 10 x ​ × 10 = − 7 × 10 .
Simplify the equation: x = − 70 .
The solution to the equation is x = − 70 .
The final answer is x = − 70 ​ .

Explanation

Problem Analysis We are given the equation x /10 = − 7 and asked to solve for x . This is a straightforward linear equation.

Isolating x To isolate x , we need to multiply both sides of the equation by 10. This will cancel out the division by 10 on the left side.

Multiplication Multiplying both sides by 10, we get: 10 x ​ × 10 = − 7 × 10

Simplifying Simplifying, we find: x = − 70

Final Answer Therefore, the solution to the equation is x = − 70 . This corresponds to option B.


Examples
Imagine you're sharing a pizza with friends, and you know that each person should get 1/10 of the pizza. If you find out that the total amount of pizza someone ate was -7 (maybe they owe you pizza!), this problem helps you calculate the total amount of pizza they initially had. Solving equations like this helps in everyday scenarios where you need to find an unknown quantity based on a proportional relationship.

Answered by GinnyAnswer | 2025-07-07