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Chapter 0: Problem 8

Solve each linear equation. $$13 x+14=12 x-5$$

Short Answer

Expert verified
The solution to the equation \(13x + 14 = 12x - 5\) is \(x = 19\).

Step by step solution

01

Group like terms

First, let's get all terms involving \(x\) on one side of the equation and constants on the other. Subtract \(12x\) from both sides to get \(13x - 12x = 14 + 5\). This simplifies to \(x = 14 + 5\).
02

Simplify

Now, simplify the right side by adding the constants. This gives \(x = 19\).

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Most popular questions from this chapter

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I subtracted \(\frac{3 x-5}{x-1}\) from \(\frac{x-3}{x-1}\) and obtained a constant.

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{x^{2}-25}{x-5}=x-5$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I prefer interval notation over set-builder notation because it takes less space to write solution sets.

This will help you prepare for the material covered in the next section. Multiply and simplify: \(12\left(\frac{x+2}{4}-\frac{x-1}{3}\right)\).

What is a linear equation in one variable? Give an example of this type of equation.
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