Question

question
solve for x:
10x + 7 = 5x + 12

Explanation:

Step1: Subtract 5x from both sides

To isolate the terms with \( x \), we subtract \( 5x \) from both sides of the equation \( 10x + 7 = 5x + 12 \). This gives us \( 10x - 5x + 7 = 5x - 5x + 12 \), which simplifies to \( 5x + 7 = 12 \).

Step2: Subtract 7 from both sides

Next, we subtract 7 from both sides to get the term with \( x \) alone. So, \( 5x + 7 - 7 = 12 - 7 \), which simplifies to \( 5x = 5 \).

Step3: Divide both sides by 5

Finally, we divide both sides of the equation \( 5x = 5 \) by 5 to solve for \( x \). This gives \( \frac{5x}{5}=\frac{5}{5} \), so \( x = 1 \).

Answer:

\( x = 1 \)