Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
![### Solving the Equation
Given the equation:
\[ 2(5x - 20) - (15 + 8x) = 7 \]
We need to find the value of \( x \) that satisfies this equation. Let's solve it step-by-step.
### Step 1: Distribute and Simplify
First, distribute the constants in the equation:
\[ 2(5x - 20) = 2 \cdot 5x - 2 \cdot 20 \]
\[ 2(5x - 20) = 10x - 40 \]
Now rewrite the equation:
\[ 10x - 40 - (15 + 8x) = 7 \]
Next, distribute the negative sign:
\[ 10x - 40 - 15 - 8x = 7 \]
Combine like terms:
\[ 10x - 8x - 40 - 15 = 7 \]
\[ 2x - 55 = 7 \]
### Step 2: Solve for \( x \)
Add 55 to both sides of the equation:
\[ 2x - 55 + 55 = 7 + 55 \]
\[ 2x = 62 \]
Divide both sides by 2:
\[ \frac{2x}{2} = \frac{62}{2} \]
\[ x = 31 \]
### Conclusion
The value of \( x \) that satisfies the equation \( 2(5x - 20) - (15 + 8x) = 7 \) is:
\[ x = 31 \]
### Graphs and Diagrams
There are no graphs or diagrams provided with the equation. The explanation focuses solely on the algebraic solution to find the value of \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe090a92a-12aa-45de-9140-afac154328af%2Fbd444ac5-8f0a-429a-8642-952b5f4f0b46%2Fqlf4hxd_processed.jpeg&w=3840&q=75)
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