Understanding the Equation
To solve the equation 15x + 12 = 34x + 19, we need to isolate the variable x. This involves rearranging the equation step by step.
Step 1: Rearranging the Equation
- Start with the original equation:
15x + 12 = 34x + 19
- Move all terms involving x to one side and constant terms to the other side.
Subtract 15x from both sides:
12 = 34x - 15x + 19
Step 2: Simplifying
- Combine like terms:
12 = 19x + 19
- Now, subtract 19 from both sides to isolate the term with x:
12 - 19 = 19x
-7 = 19x
Step 3: Solving for x
- To find x, divide both sides by 19:
x = -7 / 19
Final Result
- The solution to the equation is:
x = -7/19
Conclusion
- You have successfully solved the equation by isolating the variable and simplifying. The final value of x represents the solution to the original equation. Always ensure to check your solution by substituting it back into the original equation to confirm it holds true.