Question

Solve each equation and check the result. $$-7+9=x+5(-3)$$

   Solve each equation and check the result.
$$-7+9=x+5(-3)$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 2, Problem 25

Instant Answer

Solved by Expert Casey Evans

07/19/2020

Step 1

On the left side, we have $-7+9$ which simplifies to $2$. On the right side, we have $x+5(-3)$ which simplifies to $x-15$. So, the equation becomes: $$2=x-15$$ Show more…

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Solve each equation and check the result. $$-7+9=x+5(-3)$$

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Key Concepts

Linear Equations

A linear equation is an algebraic expression that shows the equality of two expressions with values of the unknown variable typically raised only to the first power. Solving linear equations involves finding the value of the variable that makes the equation true, and it is foundational in algebra.

Simplifying Expressions

Simplifying expressions involves performing arithmetic operations and combining like terms so that the equation is made as simple as possible before solving. This process is essential in reducing complexity and clarifying the structure of the equation.

Isolating the Variable

Isolating the variable is a technique used in solving equations where you manipulate the equation, using operations such as addition, subtraction, multiplication, and division, to have the variable on one side of the equation and the constants on the other. This process is key to determining the value of the unknown.

Verification of Solutions

Verification of solutions is the process of substituting the found value of the variable back into the original equation to ensure that it satisfies the equation. This step confirms the correctness of the solution and is an important part of problem-solving in algebra.

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