How to Solve the Equation 3(5x – 2) + 2 = 26: Step-by-Step Guide

3(5x – 2) + 2 = 26

To solve the equation 3(5x – 2) + 2 = 26, we can follow these steps:

Step 1: Distribute the 3 to the terms inside the parentheses:
3 * 5x = 15x
3 * (-2) = -6
So the equation simplifies to: 15x – 6 + 2 = 26

Step 2: Combine like terms on the left side:
15x – 4 = 26

Step 3: Isolate the variable term on one side by adding 4 to both sides:
15x = 26 + 4
15x = 30

Step 4: Solve for x by dividing both sides by 15:
x = 30/15
x = 2

Therefore, the solution to the equation 3(5x – 2) + 2 = 26 is x = 2

To solve the equation 3(5x – 2) + 2 = 26, we can follow these steps:

Step 1: Distribute the 3 to the terms inside the parentheses:
3 * 5x = 15x
3 * (-2) = -6
So the equation simplifies to: 15x – 6 + 2 = 26

Step 2: Combine like terms on the left side:
15x – 4 = 26

Step 3: Isolate the variable term on one side by adding 4 to both sides:
15x = 26 + 4
15x = 30

Step 4: Solve for x by dividing both sides by 15:
x = 30/15
x = 2

Therefore, the solution to the equation 3(5x – 2) + 2 = 26 is x = 2.

More Answers:

Understanding Rational Numbers: Exploring the Relationship between Integers and Rational Numbers.
Understanding Rational Numbers: Exploring the Rationality of Negative Numbers
Solving the Equation 2(x + 2) = 2 Step-by-Step: Simplifying and Isolating the Variable

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »