Q
QuestionMathematics

What is the solution to this equation? 30.16 = 17.56 + 5x
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Answer

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Step 1:
I'll solve this linear equation step by step, following the LaTeX formatting guidelines precisely:

Step 2:
: Identify the equation

30.16 = 17.56 + 5x

Step 3:
: Subtract 17.56 from both sides to isolate the term with the variable

30.16 - 17.56 = 17.56 + 5x - 17.56
12.60 = 5x

Step 4:
: Divide both sides by 5 to solve for x

\frac{12.60}{5} = \frac{5x}{5}
2.52 = x

Final Answer

Verification: Let's check our solution by substituting x = 2.52 back into the original equation: 17.56 + 5(2.52) = 17.56 + 12.60 = 30.16 ✓ The solution satisfies the original equation, confirming that x = 2.52 is correct.