Solve the following equations:
`7x-24=6x+29`

Answer

To solve the equation \( 7x - 24 = 6x + 29 \), we will follow these steps:

### Step 1: Move all terms involving \( x \) to one side
We start with the equation:
\[ 7x - 24 = 6x + 29 \]

We want to get all the \( x \) terms on one side. To do this, we can subtract \( 6x \) from both sides:
\[ 7x - 6x - 24 = 29 \]

### Step 2: Simplify the equation
Now, simplify the left side:
\[ (7x - 6x) - 24 = 29 \]
This simplifies to:
\[ x - 24 = 29 \]

### Step 3: Move the constant term to the other side
Next, we need to isolate \( x \). To do this, we add \( 24 \) to both sides of the equation:
\[ x - 24 + 24 = 29 + 24 \]

### Step 4: Simplify the equation again
This simplifies to:
\[ x = 29 + 24 \]

### Step 5: Calculate the right side
Now, we calculate \( 29 + 24 \):
\[ x = 53 \]

### Final Answer
Thus, the solution to the equation \( 7x - 24 = 6x + 29 \) is:
\[ x = 53 \]

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