Solve for x

: 13x+26=3x−34
.(1 point)
Responses

x=3
x equals 3

x=18
x equals 18

x=−6
x equals negative 6

x=−9

1 answer

To solve the equation \( 13x + 26 = 3x - 34 \), we'll start by isolating \( x \).

  1. Subtract \( 3x \) from both sides:

\[ 13x - 3x + 26 = -34 \]

Which simplifies to:

\[ 10x + 26 = -34 \]

  1. Next, subtract 26 from both sides:

\[ 10x = -34 - 26 \]

This gives us:

\[ 10x = -60 \]

  1. Now, divide both sides by 10:

\[ x = -6 \]

Thus, the solution is \( x = -6 \).

The correct response is:

x = −6
x equals negative 6