five more than one third of a number is -2.Find the number
-21
Let x be the number.
(1/3)(x) + 5 = -2
multiply both sides by 3:
x + 15 = -6
subtract 15 from both sides to solve for x.
To find the number, we can follow these steps:
Step 1: Let's assume the number is represented by "x".
Step 2: "One-third of a number" can be calculated by multiplying the number by 1/3. So, one-third of the number would be (1/3)x.
Step 3: "Five more than one-third of a number" means adding 5 to the result of one-third of the number. So, the expression would be (1/3)x + 5.
Step 4: According to the given condition, "Five more than one-third of a number is -2", we can write it as an equation: (1/3)x + 5 = -2.
Step 5: To solve this equation, we need to isolate the variable x. We can start by subtracting 5 from both sides of the equation: (1/3)x + 5 - 5 = -2 - 5, which simplifies to (1/3)x = -7.
Step 6: To cancel out the fraction, we multiply both sides of the equation by 3: 3 * (1/3)x = -7 * 3, resulting in x = -21.
Therefore, the number is -21.