Question

Solve $3(2 x-9)=45$. (a) 9 (b) $-9$ (c) $-12$ (d) 12

   Solve $3(2 x-9)=45$.
(a) 9
(b) $-9$
(c) $-12$
(d) 12

Pre-Algebra Demystified

Pre-Algebra Demystified

Allan Bluman 1st Edition

Chapter 7, Problem 15

Instant Answer

Solved by Expert Ricajoy Montero

04/25/2020

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This gives us $6x - 27 = 45$. Show more…

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Solve $3(2 x-9)=45$. (a) 9 (b) $-9$ (c) $-12$ (d) 12

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Key Concepts

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Solving such equations involves finding the value of the variable that makes the equation true, and they typically result in a single, unique solution.

Distributive Property

The distributive property allows you to eliminate parentheses by multiplying each term inside the parentheses by the factor outside. It is especially useful when simplifying expressions and equations, as it breaks down expressions into individual terms that can be more easily manipulated.

Inverse Operations

Inverse operations are used to undo operations in order to isolate the variable. This includes operations like division and multiplication, as well as addition and subtraction, which are performed in reverse order to systematically simplify and solve an equation.

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