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Chapter 2: Problem 28

Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$8 x-3 x=-45$$

Short Answer

Expert verified
\(x = -9\)

Step by step solution

01

Simplify the equation

Combine the \(x\) terms on the left-hand side of the equation. This gives \(5x = -45\).
02

Use the multiplication property of equality

Divide both sides of the equation by 5 to solve for \(x\). This gives \(x = -9\).
03

Check the solution

Substitute \(x = -9\) back into the original equation to ensure it makes the equation true. Substituting into the original equation gives \(8*(-9) - 3*(-9) = -45\). Simplifying the left-hand side of the equation results in \(-45 = -45\), which is true, so \(x = -9\) is the correct solution.

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