Question

1. what value of x makes the equation true?

$5x + 6 = x - 10$

x=

clear all

Explanation:

Step1: Subtract \( x \) from both sides

To isolate the \( x \)-terms, we subtract \( x \) from each side of the equation \( 5x + 6 = x - 10 \). This gives us \( 5x - x + 6 = x - x - 10 \), which simplifies to \( 4x + 6 = -10 \).

Step2: Subtract 6 from both sides

Next, we want to isolate the term with \( x \). So we subtract 6 from both sides: \( 4x + 6 - 6 = -10 - 6 \). This simplifies to \( 4x = -16 \).

Step3: Divide by 4

To solve for \( x \), we divide both sides of the equation \( 4x = -16 \) by 4. So \( \frac{4x}{4} = \frac{-16}{4} \), which gives \( x = -4 \).

Answer:

\( x = -4 \)