Question

Justify each step using the word bank provided.
2(x−3)−4=4(2x−7)−6

Answer 1

To solve the equation 2(x−3)−4=4(2x−7)−6, distribute the terms, combine like terms, simplify, and isolate the variable.

Step-by-step explanation:

To solve the equation 2(x−3)−4=4(2x−7)−6, we need to simplify and eliminate terms wherever possible. Here are the steps:

1. Distribute the 2 and 4 on both sides: 2x - 6 - 4 = 8x - 28 - 6
2. Combine like terms: 2x - 10 = 8x - 34
3. Subtract 2x from both sides: -10 = 6x - 34
4. Add 34 to both sides: 24 = 6x
5. Divide both sides by 6: 4 = x

Therefore, the solution to the equation is x = 4.