Math

Question Solve the linear equation 3x+4=133x + 4 = 13 for the value of xx.

Studdy Solution

STEP 1

Assumptions
1. We have a linear equation in one variable, xx.
2. The equation is 3x+4=133x + 4 = 13.
3. We need to solve for xx.

STEP 2

The goal is to isolate xx on one side of the equation. To do this, we first need to eliminate the constant term on the side of the equation with the variable xx. We can do this by subtracting 4 from both sides of the equation.
3x+44=1343x + 4 - 4 = 13 - 4

STEP 3

Perform the subtraction on both sides of the equation.
3x=1343x = 13 - 4

STEP 4

Calculate the result of the subtraction on the right side of the equation.
3x=93x = 9

STEP 5

Now, we need to isolate xx by getting rid of the coefficient 3. We can do this by dividing both sides of the equation by 3.
3x3=93\frac{3x}{3} = \frac{9}{3}

STEP 6

Perform the division on both sides of the equation.
x=3x = 3
The solution to the equation 3x+4=133x + 4 = 13 is x=3x = 3.

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