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Solve for x

: 4x+8=3x−10
.(1 point)
Responses

x=3
x equals 3

x=−10
x equals negative 10

x=−18
x equals negative 18

x=−8

1 answer

To solve the equation \( 4x + 8 = 3x - 10 \), we can follow these steps:

  1. Isolate the variable \( x \):

    Start by subtracting \( 3x \) from both sides:

    \[ 4x - 3x + 8 = -10 \]

    This simplifies to:

    \[ x + 8 = -10 \]

  2. Next, subtract 8 from both sides to solve for \( x \):

    \[ x = -10 - 8 \]

    Thus,

    \[ x = -18 \]

Therefore, the solution is:

\( \boxed{x = -18} \)