Question

question
warm-up
solving an equation means finding the value that makes the statement true. solve this equation to find the value of x that makes the statement true.
8x - 8 = 4x + 12
type the correct answer in the box. use numerals instead of words.
x = \square

Explanation:

Step1: Subtract 4x from both sides

To isolate the variable terms, we subtract \(4x\) from both sides of the equation \(8x - 8 = 4x + 12\). This gives us \(8x - 4x - 8 = 4x - 4x + 12\), which simplifies to \(4x - 8 = 12\).

Step2: Add 8 to both sides

Next, we add 8 to both sides to isolate the term with \(x\). So, \(4x - 8 + 8 = 12 + 8\), which simplifies to \(4x = 20\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\). That is, \(\frac{4x}{4} = \frac{20}{4}\), which gives \(x = 5\).

Answer:

5