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Chapter 0: Problem 4

Solve each linear equation. $$5 x-(2 x-10)=35$$

Short Answer

Expert verified
The solution to the equation is \(x = 25/3\) or \(x \approx 8.33\).

Step by step solution

01

Simplify the left side

Begin by simplifying the left side of the equation. First, distribute the negative sign over the terms within the parentheses. The equation now reads \(5x - 2x + 10 = 35\).
02

Combine like terms on left side

Next, combine like terms on the left side to simplify further. The equation now reads \(3x + 10 = 35\).
03

Subtract 10 from both sides

In order to isolate \(x\), subtract 10 from both sides of the equation. The equation now reads \(3x = 25\).
04

Divide both sides by 3

Finally, to find the value of \(x\), divide both sides of the equation by 3. The solution to the equation is \(x = 25/3\) or \(x \approx 8.33\) when rounded to two decimal places.

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