Question

Solve each equation. $$5(x+2)-3=4 x+5$$

   Solve each equation.
$$5(x+2)-3=4 x+5$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Julie Miller,Molly… 3rd Edition

Chapter 2, Problem 3

Instant Answer

Solved by Expert Matthew Biollo

03/19/2021

Step 1

Step 1: First, distribute the 5 in the left side of the equation: $$5(x+2)-3=4x+5 \Rightarrow 5x+10-3=4x+5$$ Show more…

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Solve each equation. $$5(x+2)-3=4 x+5$$

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Key Concepts

Combining Like Terms

This concept involves merging terms with the same variable or constant values on one side of the equation to simplify the expression and make it easier to isolate the variable.

Isolation of the Variable

This process refers to the systematic manipulation of an equation—involving addition, subtraction, multiplication, or division—to get the variable alone on one side, which is key to solving for its value.

Linear Equations

Linear equations involve variables raised only to the first power and form straight lines when graphed. They require procedures to isolate the variable and find its value.

Distributive Property

The distributive property allows you to multiply a term outside the parentheses by each term inside the parentheses, which is essential for simplifying expressions before solving equations.

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