Question

three step linear equations
question
solve for ( x ):
( -7x - 4 = -10x - 10 )
answer
attempt 1 out of 2
( x = ) input box submit answer

Explanation:

Step1: Add \(10x\) to both sides

To get all \(x\)-terms on one side, we add \(10x\) to both sides of the equation \(-7x - 4 = -10x - 10\). This gives \(-7x + 10x - 4 = -10x + 10x - 10\), which simplifies to \(3x - 4 = -10\).

Step2: Add 4 to both sides

To isolate the term with \(x\), we add 4 to both sides. So, \(3x - 4 + 4 = -10 + 4\), which simplifies to \(3x = -6\).

Step3: Divide by 3

To solve for \(x\), we divide both sides by 3. \(\frac{3x}{3} = \frac{-6}{3}\), which gives \(x = -2\).

Answer:

\(x = -2\)