Questions: -2x - 4 + 9x = 11x - 1

Transcript text: -2 x-4+9 x=11 x-1

Solution

Solution Steps

Step 1: Combine Like Terms

Starting with the equation: \[ -2x - 4 + 9x = 11x - 1 \] we combine like terms on the left side: \[ (9x - 2x) - 4 = 11x - 1 \] which simplifies to: \[ 7x - 4 = 11x - 1 \]

Step 2: Isolate the Variable

Next, we isolate \(x\) by moving all terms involving \(x\) to one side and constant terms to the other side. We subtract \(7x\) from both sides: \[ -4 = 11x - 7x - 1 \] This simplifies to: \[ -4 = 4x - 1 \] Now, we add \(1\) to both sides: \[ -4 + 1 = 4x \] which gives us: \[ -3 = 4x \]

Step 3: Solve for \(x\)

Finally, we solve for \(x\) by dividing both sides by \(4\): \[ x = \frac{-3}{4} \]