Question

Solve $5-3(x-9)+4 x=3(x-8)-2(x+1)$

   Solve $5-3(x-9)+4 x=3(x-8)-2(x+1)$

Precalculus Functions and Graphs

Precalculus Functions and Graphs

Mark Dugopolski 4th Edition

Chapter 11, Problem 96

Instant Answer

Solved by Expert Linh Vu

04/08/2020

Step 1

Step 1: First, we expand the brackets on both sides of the equation: \[5 - 3(x - 9) + 4x = 3(x - 8) - 2(x + 1)\] This simplifies to: \[5 - 3x + 27 + 4x = 3x - 24 - 2x - 2\] Show more…

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Solve $5-3(x-9)+4 x=3(x-8)-2(x+1)$

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Key Concepts

Combining Like Terms

This concept involves merging terms that have the same variable components, which simplifies expressions and equations. By adding or subtracting coefficients of the same variable, you reduce the equation to a simpler form that is easier to solve.

Solving Linear Equations

This process involves finding the value of the variable that makes the equation true. It typically includes distributing, combining like terms on both sides, and isolating the variable through inverse operations while maintaining the equality of both sides.

Distributive Property

This property allows you to multiply a factor across a sum or difference within parentheses. It is used to simplify expressions where a constant multiplies a group of terms, transforming an expression like a(b + c) into ab + ac.

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