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Math  /  Algebra

Question31. Three times a number equals 40 more than five times the number. What is the number?

Studdy Solution

STEP 1

1. Let the unknown number be represented by a variable, say x x .
2. We need to find the value of x x such that three times this number equals 40 more than five times the number.

STEP 2

1. Define the variable.
2. Write an equation based on the problem statement.
3. Simplify the equation.
4. Solve for the variable.

STEP 3

Define the variable. Let x x be the unknown number.

STEP 4

Write an equation based on the problem statement. According to the problem, three times a number equals 40 more than five times the number. This can be expressed as:
3x=5x+40 3x = 5x + 40

STEP 5

Simplify the equation. Start by isolating the variable terms on one side of the equation. Subtract 5x 5x from both sides:
3x−5x=40 3x - 5x = 40
This simplifies to:
−2x=40 -2x = 40

STEP 6

Solve for the variable. Divide both sides by −2-2 to isolate x x :
x=40−2 x = \frac{40}{-2} x=−20 x = -20
The unknown number is:
−20 \boxed{-20}

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