Question

Why Is 5x + 7x = 7b

Answer 1

The equation \(5x + 7x = 7b\) can be simplified on the left side. Here's how to understand it:

1. **Combine Like Terms**: The terms \(5x\) and \(7x\) are like terms because they both contain the variable \(x\). You can combine them:
\[
5x + 7x = (5 + 7)x = 12x
\]
So, the left side simplifies to \(12x\).

2. **Rewrite the Equation**: Now, replace the left side of your original equation with the combined term:
\[
12x = 7b
\]

The equation \(12x = 7b\) suggests a relationship between the values of \(x\) and \(b\). To find \(b\) in terms of \(x\), you could rearrange it as:
\[
b = \frac{12x}{7}
\]

In summary, the original equation can be simplified to show a direct relationship between the variables \(x\) and \(b\).