Question

6(x + 6 )+3x = -6(1=5x)Provide justifications.​

Answer 1

To solve the equation 6(x + 6) + 3x = -6(1+5x), simplify the equation and isolate the variable x. The solution is x = -14/13.

Step-by-step explanation:

To solve the equation 6(x + 6) + 3x = -6(1+5x), we can simplify the equation and then isolate the variable x. Here are the steps:

1. 6(x + 6) + 3x = -6(1+5x) // Distribute 6 to x + 6 and -6 to 1+5x
2. 6x + 36 + 3x = -6 + (-30x) // Simplify both sides
3. 9x + 36 = -6 - 30x // Combine like terms
4. 9x + 30x = -6 - 36 // Move constant terms to the right side
5. 39x = -42 // Combine like terms
6. x = -42/39 // Divide both sides by 39
7. x = -14/13 // Simplify the fraction

Therefore, the solution to the equation is x = -14/13.