Solve the following equations :
`20=6+2x`

Answer

To solve the equation \(20 = 6 + 2x\), we will follow these steps:

### Step 1: Isolate the variable term
We want to get all the variable terms on one side of the equation and the constant terms on the other side. To do this, we will subtract 6 from both sides of the equation.

\[ 20 - 6 = 6 + 2x - 6 \]

### Step 2: Simplify both sides
Now we simplify both sides of the equation:

\[ 14 = 2x \]

### Step 3: Solve for \(x\)
Next, we need to isolate \(x\) by dividing both sides of the equation by 2:

\[ \frac{14}{2} = \frac{2x}{2} \]

This simplifies to:

\[ 7 = x \]

### Final Answer
Thus, the solution to the equation \(20 = 6 + 2x\) is:

\[ x = 7 \]

### Verification
To verify our solution, we can substitute \(x = 7\) back into the original equation:

\[ 20 = 6 + 2(7) \]

Calculating the right side:

\[ 20 = 6 + 14 \]
\[ 20 = 20 \]

Since both sides of the equation are equal, our solution is confirmed to be correct.