Solve for x: −12x+20=−10x+32

Answer 1

To solve for x, we need to isolate the x term on one side of the equation.

Step 1: Subtract -10x from both sides of the equation to get:

-12x + 20 - (-10x) = -10x + 32 - (-10x)
Simplifying this gives:

-12x + 20 + 10x = 32
Step 2: Combine like terms:

-2x + 20 = 32
Step 3: Subtract 20 from both sides of the equation to get:

-2x + 20 - 20 = 32 - 20
Simplifying this gives:

-2x = 12
Step 4: Divide both sides of the equation by -2 to solve for x:

(-2x)/-2 = 12/-2
Simplifying this gives:

x = -6

Therefore, the solution to the equation is x = -6.