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2x + x - 3 = 6

Question

2x + x - 3 = 6

Explanation:

Step1: Combine like terms on the left

The left side of the equation \(2x + x - 3\) can be simplified by combining the \(x\)-terms. \(2x+x = 3x\), so the equation becomes \(3x-3 = 6\).

Step2: Add 3 to both sides

To isolate the term with \(x\), we add 3 to both sides of the equation.
\(3x - 3+3=6 + 3\)
Simplifying both sides gives \(3x=9\).

Step3: Divide both sides by 3

To solve for \(x\), we divide both sides of the equation \(3x = 9\) by 3.
\(\frac{3x}{3}=\frac{9}{3}\)
This simplifies to \(x = 3\).

Answer:

\(x = 3\)