Question

Can we solve $3(c+2)+5(2 c-5)=-6 ?$ Why or why not?

   Can we solve $3(c+2)+5(2 c-5)=-6 ?$ Why or why not?

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 6

Instant Answer

Solved by Expert Caleb Elmore

06/30/2020

Step 1

This gives us $3c + 6 + 10c - 25 = -6$. Show more…

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Can we solve $3(c+2)+5(2 c-5)=-6 ?$ Why or why not?

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Key Concepts

Linear Equation

A linear equation in a single variable is an equation that can be written in the form ax + b = c, where a, b, and c are constants and x is the variable. Such equations have at most one solution and are solved by isolating the variable through algebraic manipulations.

Distributive Property

The distributive property allows one to multiply a term by a sum inside parentheses, effectively removing the parentheses. It states that a(b + c) = ab + ac, and is a crucial step in expanding and simplifying algebraic expressions in order to solve equations.

Combining Like Terms

Combining like terms involves merging terms with the same variable part by adding or subtracting their coefficients. This process simplifies the equation, making it easier to isolate and solve for the variable by reducing the equation to a simpler form.

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