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equations with parentheses, decimals, & fractions quick check what is t…

Question

equations with parentheses, decimals, & fractions quick check
what is the first step in solving for x in the equation 5.6 (x + 1.42) = 7.8? (1 point)
multiply both sides by 5.6.
subtract 1.42 from both sides.
divide both sides by 5.6.
only the left - hand side was divided by 5.6.

Explanation:

Step1: Isolate the term with x

To get the expression in the form of \(x+\text{constant}\), we need to get rid of the coefficient 5.6 multiplying the parenthesis. We do this by dividing both sides of the equation by 5.6. The original equation is \(5.6(x + 1.42)=7.8\). After dividing both sides by 5.6, we get \(x + 1.42=\frac{7.8}{5.6}\).

Answer:

C. Divide both sides by 5.6.