Question

Solve (5x+6)/2=3-(4x+12)

Answer 1

To solve the equation (5x+6)/2=3-(4x+12), isolate the x variable by following these steps: multiply by 2, add 8x, subtract 6, and divide by 13. The solution is x = 0.

Step-by-step explanation:

To solve the equation (5x+6)/2=3-(4x+12), we need to isolate the x variable on one side of the equation. Here are the steps:

1. Multiply both sides of the equation by 2 to eliminate the denominator. This gives us 5x+6 = 6 - 8x.
2. Add 8x to both sides of the equation. This gives us 13x + 6 = 6.
3. Subtract 6 from both sides of the equation. This gives us 13x = 0.
4. Divide both sides of the equation by 13. This gives us x = 0.

Therefore, the solution to the equation (5x+6)/2=3-(4x+12) is x = 0.