i need help filling this out!

4x-10=32-3x

4x-10+____=32-3x+22

____-10+____=32+_____

___=___

___=___

x=___

ok you need to solve for x. remember the rule, whatever you do on the left side, you do to the right side and vice versa.

on the second step, they add 22 to the right side. so do the same thing to the left side. add 22.

on the third step, i'm not really sure but basically just try to bring the x's on one side and the numbers on the other. doesn't matter. solve for x

To fill out the steps and solve for x in the equation 4x-10=32-3x, follow these steps:

Step 1: Start with the given equation: 4x-10=32-3x.

Step 2: Add 22 to both sides of the equation to eliminate the -3x term on the right side:
4x-10+22=32-3x+22
Simplifying the equation: 4x+12=54-3x.

Step 3: Bring all the x terms to one side and the constant terms to the other side by adding 3x to both sides and subtracting 12 from both sides:
4x+3x+12=54-3x+3x-12
Combining like terms: 7x+12=54.

Step 4: Next, subtract 12 from both sides of the equation to isolate the variable:
7x+12-12=54-12
Simplifying the equation: 7x=42.

Step 5: Finally, divide both sides of the equation by 7 to solve for x:
(7x)/7 = 42/7
Simplifying the equation: x = 6.

Therefore, the solution to the equation 4x-10=32-3x is x = 6.