Question

Solve the equations below and choose the correct answer:

6x - 8 = 5 - 2x

a) -2x + 6x - 8 = 5
b) 4x - 8 = 5
c) 4x = 13
d) x = 13/4

Answer 1

To solve the equation, we need to isolate the variable x on one side of the equation by performing operations on both sides of the equation. By following the steps mentioned above, we find that x = 13/4 (option d).

Step-by-step explanation:

To solve the equation 6x - 8 = 5 - 2x, we need to isolate the variable x on one side of the equation.

Add 2x to both sides: 6x + 2x - 8 = 5. Combine like terms: 8x - 8 = 5.

Add 8 to both sides: 8x - 8 + 8 = 5 + 8
8x = 13. Divide both sides by 8: 8x8 = 138
x = 13}{4}. Therefore, the correct answer is d) x = 13/4.