0 8(x-2)+2 6=0 5(7+x)

3 min read Jun 07, 2024

Solving Linear Equations: A Step-by-Step Guide

In this article, we will explore how to solve linear equations, specifically focusing on the examples of 0.8(x-2)+2=6 and 5(7+x)=0. Linear equations are a fundamental concept in algebra, and understanding how to solve them is crucial for success in mathematics and science.

Example 1: 0.8(x-2)+2=6

To solve this equation, we can start by isolating the variable x. Our goal is to get x alone on one side of the equation.

Step 1: Subtract 2 from both sides

0.8(x-2) + 2 = 6

Subtracting 2 from both sides gives us:

0.8(x-2) = 4

Step 2: Divide both sides by 0.8

x - 2 = 4/0.8

Step 3: Add 2 to both sides

x = 4/0.8 + 2

x = 5 + 2

x = 7

Therefore, the value of x is 7.

Example 2: 5(7+x)=0

To solve this equation, we can start by distributing the 5 to the terms inside the parentheses.

35 + 5x = 0

Step 1: Subtract 35 from both sides

5x = -35

Step 2: Divide both sides by 5

x = -35/5

x = -7

Therefore, the value of x is -7.

Conclusion

In this article, we have demonstrated how to solve two linear equations: 0.8(x-2)+2=6 and 5(7+x)=0. By following the steps outlined above, we were able to isolate the variable x and find its value. Linear equations are a fundamental concept in algebra, and understanding how to solve them is crucial for success in mathematics and science.