Questions: 4x - 9x + 2 =

4x - 9x + 2 =
Transcript text: $4 x-9 x+2=$
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Solution

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Solution Steps

To solve the equation \(4x - 9x + 2 = 0\), we first combine like terms on the left side of the equation. This involves adding the coefficients of \(x\). After simplifying, we solve for \(x\) by isolating it on one side of the equation.

Step 1: Combine Like Terms

The given equation is \(4x - 9x + 2 = 0\). First, we combine the like terms \(4x\) and \(-9x\): \[ 4x - 9x = -5x \] Thus, the equation simplifies to: \[ -5x + 2 = 0 \]

Step 2: Isolate the Variable

To solve for \(x\), we need to isolate it. Start by subtracting 2 from both sides of the equation: \[ -5x = -2 \]

Step 3: Solve for \(x\)

Divide both sides by \(-5\) to solve for \(x\): \[ x = \frac{-2}{-5} = \frac{2}{5} \]

Final Answer

\(\boxed{x = \frac{2}{5}}\)

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