Question32. A number equals four less than three times the number. What is the number?

Studdy Solution

STEP 1

1. We are given a number that equals four less than three times itself.
2. We need to find the value of this number.

STEP 2

1. Define a variable for the unknown number.
2. Write an equation based on the problem statement.
3. Simplify and solve the equation.

STEP 3

Define a variable for the unknown number. Let $x$ represent the unknown number.

STEP 4

Write an equation based on the problem statement. According to the problem, the number equals four less than three times the number. This can be expressed as:
$x = 3x - 4$

STEP 5

Simplify and solve the equation. Start by isolating the variable $x$ on one side. Subtract $3x$ from both sides:
$x - 3x = -4$
This simplifies to:
$-2x = -4$
Divide both sides by $-2$ to solve for $x$ :
$x = \frac{-4}{-2}$ $x = 2$
The number is:
$\boxed{2}$

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