Solve for x: −12x + 20=−10x + 32.(1 point)

1 answer

Starting with the given equation: -12x + 20 = -10x + 32

We want to isolate the variable x on one side of the equation.

To do that, we can start by subtracting -10x from both sides of the equation:
-12x + 20 - (-10x) = -10x + 32 - (-10x)
-12x + 20 + 10x = 32
Combine like terms:
(-12x + 10x) + 20 = 32
-2x + 20 = 32

Next, we can subtract 20 from both sides of the equation:
-2x + 20 - 20 = 32 - 20
-2x = 12

Finally, we can solve for x by dividing both sides of the equation by -2:
-2x / -2 = 12 / -2
x = -6

So the solution is x = -6.