Let's solve the equation step by step:

Given equation:

\[
\frac{100}{4}(2 + x) = 5
\]

### Step 1: Simplify the expression on the left side.
First, divide 100 by 4:

\[
\frac{100}{4} = 25
\]

So the equation becomes:

\[
25(2 + x) = 5
\]

### Step 2: Distribute the 25 to both terms inside the parentheses.

\[
25 \times 2 + 25 \times x = 50 + 25x
\]

So, the equation is now:

\[
50 + 25x = 5
\]

### Step 3: Isolate the variable term.
Subtract 50 from both sides:

\[
25x = 5 - 50
\]

\[
25x = -45
\]

### Step 4: Solve for \( x \).
Divide both sides by 25:

\[
x = \frac{-45}{25}
\]

Simplify the fraction:

\[
x = -\frac{9}{5}
\]

So, the solution is:

\[
\boxed{x = -\frac{9}{5}}
\]

Would you like more details or have any questions?

Here are some related questions you might consider:
1. How do you solve equations with variables on both sides?
2. What are the steps to solving equations that include fractions?
3. How do you check if your solution to an equation is correct?
4. What is the difference between solving linear and quadratic equations?
5. How can you solve equations that have more than one variable?

**Tip:** When dealing with fractions, always try to simplify them as much as possible to make the calculations easier.

Explore how to solve the linear equation 100/4(2 + x) = 5 with a step-by-step guide. This problem includes key algebraic concepts such as the distributive property and simplifying fractions, ideal for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation