Solve Equations with Variables on Both Sides Quick Check%0D%0A1 of 51 of 5 Items%0D%0A%0D%0AQuestion%0D%0ASolve for x: 9x+16=6x+1.(1 point)%0D%0AResponses%0D%0A%0D%0Ax=6%0D%0A x equals 6%0D%0A%0D%0Ax=3%0D%0A x equals 3%0D%0A%0D%0Ax=−4%0D%0A x equals negative 4%0D%0A%0D%0Ax=−5

Answer 1

To solve the equation 9x + 16 = 6x + 1, you need to combine like terms and isolate the variable x.

First, subtract 6x from both sides of the equation to get:
9x - 6x + 16 = 6x - 6x + 1

Simplifying, you have:
3x + 16 = 1

Next, subtract 16 from both sides of the equation to get:
3x + 16 - 16 = 1 - 16

Simplifying further, you have:
3x = -15

Now, divide both sides of the equation by 3 to solve for x:
3x/3 = -15/3

Simplifying, you have:
x = -5

Therefore, x = -5.