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Solve the equation. 5 + 2x = 3 - 4(1 - x)

Question:

Solve the equation.

5 + 2x = 3 - 4(1 - x)

Solving First Degree Equations:

An equation in a variable can be solved with several mechanisms: by means of algebraic clearing operations, by means of a formula or numerically. When it is a linear equation, algebraic operations are carried out in order to clear the mystery of the equation, a value that corresponds to the solution of the equation.

Answer and Explanation:

We need to know the x-value that satisfies the equation {eq}5 + 2x = 3 - 4(1 - x) {/eq}

First, we multiply 4 by (1-x):

{eq}5 + 2x = 3 - 4 + 4x\\ 5 + 2x = -1 + 4x\\ {/eq}

Now, we copy 2x in the right side as -2x and -1 in the left side as 1:

{eq}5 + 1 = 4x - 2x\\ 6=2x {/eq}


Finally:

{eq}\displaystyle x=\frac{6}{2}\\ x=3 {/eq}


Learn more about this topic:

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Solving Equations Using the Addition Principle

from Algebra I: High School

Chapter 8 / Lesson 11
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