(2x+3)+(x-6)=180

2 min read Jun 16, 2024

Solving the Equation: (2x + 3) + (x - 6) = 180

This equation represents a simple algebraic problem involving combining like terms and solving for the unknown variable, x. Let's break down the steps to solve it:

1. Combine Like Terms

Identify the terms: We have two sets of parentheses with terms containing x and constant terms.
Remove the parentheses: Since there is a plus sign in front of each parenthesis, we can remove them without changing the signs of the terms inside.
Combine the 'x' terms: 2x + x = 3x
Combine the constant terms: 3 - 6 = -3

The simplified equation now becomes: 3x - 3 = 180

2. Isolate the 'x' Term

Add 3 to both sides: This will move the constant term to the right side of the equation.
- 3x - 3 + 3 = 180 + 3
- 3x = 183

3. Solve for 'x'

Divide both sides by 3: This will isolate x.
- 3x / 3 = 183 / 3
- x = 61

Conclusion

Therefore, the solution to the equation (2x + 3) + (x - 6) = 180 is x = 61.