Question

18,222 Learners found this answer helpful

\\3x + 4 - 2x = 3\\

Explanation:

Identify the given equation

We are given a linear equation to solve for \(x\):

$$3x + 4 - 2x = 3$$

Combine like terms

We group and combine the \(x\) terms on the left side.
Using the Solving Linear Equations knowledge point:

$$(3x - 2x) + 4 = 3$$

$$x + 4 = 3$$

Isolate the variable

We use subtraction to undo the addition of 4.
Using the Inverse Operations knowledge point:

$$x + 4 - 4 = 3 - 4$$

$$x = -1$$

Verify the solution

We substitute \(x = -1\) back into the original equation:

$$3(-1) + 4 - 2(-1) = -3 + 4 + 2 = 3$$

The solution is correct.

Answer:

\(x = -1\)