Solve for X in the Equation: 3(x-2)=4 | Linear Equation Practice

Question

Solve for X:

$3(x-2)=4$

00:00 Find X

00:03 Make sure to open parentheses properly, multiply by each factor

00:20 Positive times negative is always negative

00:26 Arrange the equation so that one side has only the unknown X

00:37 Group terms

00:42 Isolate X

00:51 Simplify what we can

00:56 And this is the solution to the question

To solve the equation $3(x-2) = 4$ , we follow these detailed steps:

Step 1: Apply the distributive property to the left side of the equation. This means multiplying 3 by each term within the parentheses.
Step 2: Expand $3(x-2)$ to get $3x - 6$ .
Step 3: The equation is now $3x - 6 = 4$ .
Step 4: To isolate the term containing $x$ , add 6 to both sides of the equation. This yields $3x - 6 + 6 = 4 + 6$ , simplifying to $3x = 10$ .
Step 5: Divide both sides of the equation by 3 to solve for $x$ . So, $x = \frac{10}{3}$ .

Therefore, the solution to the problem is $x = \frac{10}{3}$ .

$\frac{10}{3}$