Which step is missing when solving the equation for x?.
8x + 4 = 6 - 2(x - 4)
8x + 4 = 6 - 2x + 8
10x + 4 = 14
10x = 10
x = 1
A. 8x + 4 = 12x
B. 8x + 4 = 14 - 2x
C. 8x = -2x +10
D. -12 = -12x
B. 8x + 4 = 14 - 2x
The missing step when solving the equation for x is combining like terms on both sides of the equation.
The given equation is:
8x + 4 = 6 - 2(x - 4)
To solve this equation, we will follow the order of operations (PEMDAS/BODMAS) and combine like terms:
8x + 4 = 6 - 2x + 8
Here, we need to distribute the -2 to the terms inside the parentheses:
8x + 4 = 6 - 2x - 8
Now, we can combine the like terms:
8x + 4 = -2x - 2
To further simplify, we can move all the variables (x) to one side of the equation and the constants to the other side:
8x + 2x = -2 - 4
This gives us:
10x = -6
Finally, to solve for x, divide both sides of the equation by 10:
x = (-6) / 10
x = -0.6
Therefore, the correct option is missing from the choices provided above.