Solve the equation. Check your solution.

2x + 6x - 5 = 11

1 answer

To solve the equation 2x + 6x - 5 = 11, we need to combine like terms and isolate the variable on one side.

First, combine the x terms: 2x + 6x = 8x.

Next, move the constant term to the other side of the equation by adding 5 to both sides: 8x - 5 + 5 = 11 + 5.

This simplifies to: 8x = 16.

Now, divide both sides of the equation by 8 to solve for x: (8x)/8 = 16/8.

This simplifies to: x = 2.

To check our solution, substitute x = 2 back into the original equation: 2(2) + 6(2) - 5 = 11.

This simplifies to: 4 + 12 - 5 = 11.

We can see that both sides of the equation are equal (11 = 11), so our solution of x = 2 is correct.