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Solve for x

: 13x+26=3x−34
.(1 point)
Responses

x=3
x equals 3

x=−9
x equals negative 9

x=−6
x equals negative 6

x=18
x equals 18

1 answer

To solve the equation \( 13x + 26 = 3x - 34 \), follow these steps:

  1. First, isolate the terms involving \( x \) on one side and constant terms on the other side. Subtract \( 3x \) from both sides:

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

    This simplifies to:

    \[ 10x + 26 = -34 \]

  2. Next, subtract 26 from both sides to isolate the \( x \) term:

    \[ 10x = -34 - 26 \]

    This simplifies to:

    \[ 10x = -60 \]

  3. Now, divide both sides by 10 to solve for \( x \):

    \[ x = \frac{-60}{10} \]

    This results in:

    \[ x = -6 \]

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

The correct response is:

x=−6

x equals negative 6.