2(5x − 20) − (15 + 8x) = 7
What value of x satisfies the equation above?

Explanation

To solve the equation \( 2(5x - 20) - (15 + 8x) = 7 \), we will follow these steps:

### Step 1: Distribute the terms inside the parentheses.
We start by distributing the \(2\) and the negative sign across the terms in the parentheses.

\[ 2(5x) - 2(20) - 15 - 8x = 7 \]

This simplifies to:

\[ 10x - 40 - 15 - 8x = 7 \]

### Step 2: Combine like terms.
Next, we combine the like terms on the left side of the equation.

\[ 10x - 8x - 40 - 15 = 7 \]

This simplifies to:

\[ 2x - 55 = 7 \]

### Step 3: Isolate the variable term.
Now, we will isolate the term with \(x\) by adding \(55\) to both sides of the equation.

\[ 2x - 55 + 55 = 7 + 55 \]

This simplifies to:

\[ 2x = 62 \]

### Step 4: Solve for \(x\).
Finally, we divide both sides by \(2\) to solve for \(x\).

\[ x = \frac{62}{2} \]

This gives us:

\[ x = 31 \]

### Final Answer:
The value of \(x\) that satisfies the equation is \(31\).

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