Fill in the blanks to follow the steps in solving the equation:
5x-12-6x=-10x+7-1
Step 1: Combine like terms
Step 2: Get x-terms on same side of equation
Step 3: Get constants on same side of equation
Step 4: Get the x by itself by using the inverse operation
Step 1: Combine like terms
5x - 12 - 6x = -10x + 7 - 1
Step 2: Get x-terms on the same side of the equation
5x - 6x + 10x = 7 - 1 + 12
Step 3: Get constants on the same side of the equation
5x - 6x + 10x = 7 + 12 - 1
Step 4: Get the x by itself by using the inverse operation
9x = 18
Step 1: Combine like terms
Start with the equation:
5x - 12 - 6x = -10x + 7 - 1
Combine the x-terms on the left side of the equation:
(5x - 6x) - 12 = -10x + 7 - 1
Simplify the x-terms:
-x - 12 = -10x + 7 - 1
Step 2: Get x-terms on the same side of the equation
Move the -10x term to the left side by adding 10x to both sides:
(-x - 12) + 10x = (-10x + 10x) + 7 - 1
Simplify the x-terms:
9x - 12 = 7 - 1
Step 3: Get the constants on the same side of the equation
Move the constants to the right side by adding 12 to both sides:
(9x - 12) + 12 = (7 - 1) + 12
Simplify the constants:
9x = 18
Step 4: Get the x by itself by using the inverse operation
Divide both sides of the equation by 9 to isolate x:
(9x)/9 = 18/9
Simplify:
x = 2
The solution to the equation is x = 2.