-12x+20=-10x+32

To solve this equation, combine like terms:

-12x + 20 = -10x + 32

Add 10x to both sides of the equation:

-12x + 10x + 20 = -10x + 10x + 32

Simplifying:

-2x + 20 = 32

Subtract 20 from both sides of the equation:

-2x + 20 - 20 = 32 - 20

Simplifying:

-2x = 12

Divide both sides of the equation by -2:

-2x/-2 = 12/-2

Simplifying:

x = -6

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

To solve the equation -12x + 20 = -10x + 32, we need to isolate the variable x on one side of the equation. Let's go through the steps:

Step 1: Combine like terms on both sides of the equation:
-12x + 20 = -10x + 32
Combine the x terms on the right side:
-12x + 20 = -10x + 32

Step 2: Move the constant term to the other side:
-12x + 20 + 10x = 32
Combine the constants on the right side:
-12x + 10x + 20 = 32

Step 3: Combine like terms on the left side:
-2x + 20 = 32

Step 4: Move the constant term to the other side:
-2x = 32 - 20
Simplify:
-2x = 12

Step 5: Divide both sides of the equation by -2 to isolate x:
x = 12 / -2
Simplify:
x = -6

Therefore, the solution to the equation -12x + 20 = -10x + 32 is x = -6.