Question

solve. dont forget to check.

(6x - 2 = 40)

the solution is (x = \square).
(type an integer or a simplified fraction.)

Explanation:

Identify the given equation

We are given a first-degree equation in one variable to solve:

$$6x - 2 = 40$$

Our goal is to isolate the variable \(x\) using algebraic properties.

Isolate the variable term

Using the Linear Equations concept, we first isolate the term containing \(x\) by adding \(2\) to both sides of the equation:

$$6x - 2 + 2 = 40 + 2$$

$$6x = 42$$

Solve for x

Next, we isolate \(x\) by dividing both sides of the equation by \(6\):

$$\frac{6x}{6} = \frac{42}{6}$$

$$x = 7$$

Verify the solution

We check our solution by substituting \(x = 7\) back into the original equation:

$$6(7) - 2 = 42 - 2 = 40$$

Since both sides are equal, the solution is correct.

Answer:

Solve. Don't forget to check.
\(6x - 2 = 40\)

The solution is x = <blank>7</blank>.
(Type an integer or a simplified fraction.)