Questions: Solve the equation. 5x + 36 = x

Transcript text: Solve the equation. \[ 5 x+36=x \]

Solution

Step 1: Move all \(x\)-terms to one side

Subtract \(x\) from both sides of the equation to isolate the \(x\)-terms: \[ 5x + 36 - x = x - x \] Simplify: \[ 4x + 36 = 0 \]

Step 2: Move the constant term to the other side

Subtract \(36\) from both sides to isolate the \(x\)-term: \[ 4x + 36 - 36 = 0 - 36 \] Simplify: \[ 4x = -36 \]

Step 3: Solve for \(x\)

Divide both sides by \(4\) to solve for \(x\): \[ x = \frac{-36}{4} \] Simplify: \[ x = -9 \]

\[ \boxed{x = -9} \]

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