Solve for x: −12x+20=−10x+32
To solve for x, we need to isolate the variable on one side of the equation.
To do this, we can combine like terms by subtracting -20 from both sides:
-12x + 20 - 20 = -10x + 32 - 20
This simplifies to:
-12x = -10x + 12
Next, we can subtract -10x from both sides to further isolate the variable:
-12x + 10x = -10x + 12 - 10x
This simplifies to:
-2x = 12
Finally, we can divide both sides by -2 to solve for x:
-2x / -2 = 12 / -2
This gives us the solution:
x = -6
To solve the equation −12x + 20 = −10x + 32 for x, follow the steps below:
1. Start by combining like terms on both sides of the equation. Add 12x to both sides to get rid of the negative coefficient of x on the left side:
−12x + 12x + 20 = −10x + 12x + 32
Simplifying, we get:
20 = 2x + 32
2. Next, subtract 32 from both sides to isolate the term with x on the right side:
20 - 32 = 2x + 32 - 32
Simplifying, we get:
-12 = 2x
3. Now, divide both sides of the equation by 2 to solve for x:
-12/2 = 2x/2
Simplifying, we get:
-6 = x
Therefore, the solution to the equation −12x + 20 = −10x + 32 is x = -6.