Question

What is the reason for each step in the solution of the equation 12−5x+6x=4?

a) Simplify the equation.
b) Combine like terms.
c) Solve for x.

Answer 1

The reason for each step in the solution of the equation 12−5x+6x=4 is to simplify the equation, combine like terms, and solve for x.

Step-by-step explanation:

1. Simplify the equation: Combine like terms and rearrange the terms to get -5x + 6x = 4 - 12, which simplifies to x = -8.
2. Combine like terms: -5x + 6x simplifies to x.
3. Solve for x: x = -8 is the solution to the equation.