Solve Other Linear Equations Practice

Question

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Question
Solve for x
: 8x−5=3x+20
.(1 point)

Answer 1

To solve the equation \(8x - 5 = 3x + 20\), follow these steps:

1. Isolate the variable term: Get all terms involving \(x\) on one side of the equation and constant terms on the other side.

   Subtract \(3x\) from both sides:

   \[ 8x - 3x - 5 = 20 \]

   This simplifies to:

   \[ 5x - 5 = 20 \]

2. Move constant terms to the other side: Add 5 to both sides to isolate the term with \(x\).

   \[ 5x = 20 + 5 \]

   This simplifies to:

   \[ 5x = 25 \]

3. Solve for \(x\): Divide both sides by 5.

   \[ x = \frac{25}{5} \]

   This simplifies to:

   \[ x = 5 \]

So, the solution is:

\[ \boxed{5} \]