High School

Write an equation that you can solve by subtracting 3.2 from both sides of the equation. Then show how you solve the equation and check your solution.

Example:
\[ x + 3.2 = 7.5 \]

Step-by-step solution:
1. Subtract 3.2 from both sides:
\[ x + 3.2 - 3.2 = 7.5 - 3.2 \]
\[ x = 4.3 \]

2. Check the solution by substituting \( x \) back into the original equation:
\[ 4.3 + 3.2 = 7.5 \]
\[ 7.5 = 7.5 \] (True)

Thus, the solution \( x = 4.3 \) is correct.

Answer :

let's work on an equation that we can solve by subtracting 3.2 from both sides. How about this equation: x + 5 = 12. To solve it, we'll subtract 3.2 from both sides:

(x + 5) - 3.2 = 12 - 3.2

Simplifying, we have:

x + 1.8 = 8.8

Now, to isolate x, we'll subtract 1.8 from both sides:

(x + 1.8) - 1.8 = 8.8 - 1.8

This gives us:

x = 7

To check our solution, we can substitute x = 7 back into the original equation:

7 + 5 = 12

12 = 12

Since the equation is true, our solution of x = 7 is correct.

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