Explanation And Solution For "1 2X 7 1 3 X 12"

14) Solve 1/2x 7 = 1/3 (x12) from e-eduanswers.com

Introduction

As a professional teacher, my goal is to help students understand and solve mathematical problems. The expression "1 2x 7 1 3 x 12" is a combination of numbers and variables that can be simplified and solved with the right approach.

Understanding the Expression

The expression consists of five terms, separated by spaces. The terms are "1", "2x", "7", "1", and "3x12". The terms "1" and "7" are constants, while "2x" and "3x12" are variables with coefficients of 2 and 3, respectively.

Simplifying the Expression

To simplify the expression, we need to combine like terms. Like terms are terms that have the same variable and exponent. In this case, we have two sets of like terms: "1" and "7", and "2x" and "3x12". We can combine the constants "1" and "7" to get "8". Similarly, we can combine the variables "2x" and "3x12" to get "2x + 36". Therefore, the simplified expression is "8 + 2x + 36".

Solving the Expression

To solve the expression, we need to find the value of "x" that makes the expression true. We can do this by using algebraic methods. First, we can simplify the expression further by combining the constants "8" and "36" to get "44". Therefore, the expression becomes "44 + 2x". Next, we can isolate the variable "x" by subtracting "44" from both sides of the equation. This gives us "2x = -44". Finally, we can solve for "x" by dividing both sides by "2". This gives us "x = -22". Therefore, the solution to the expression "1 2x 7 1 3 x 12" is "x = -22".

Conclusion

In summary, the expression "1 2x 7 1 3 x 12" can be simplified and solved by combining like terms and using algebraic methods. The simplified expression is "8 + 2x + 36", and the solution is "x = -22". As a teacher, it is important to break down mathematical problems into simpler steps to help students understand and solve them.