Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
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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
5x - 12 - 6x = -10x + 7 - 1
Step 1: Combine like terms
(5x - 6x) - 12 = -10x + (7 - 1)
-x - 12 = -10x + 6
Step 2: Get x-terms on the same side of the equation
-x + 10x = 6 + 12
9x = 18
Step 3: Get constants on the same side of the equation
9x = 18
9x - 18 = 0
Step 4: Get the x by itself by using the inverse operation
9x = 18
x = 2
is there any other way ?
Yes, there is another way to solve the equation.
5x - 12 - 6x = -10x + 7 - 1
Step 1: Combine like terms
(5x - 6x) + 10x = (7 - 1) + 12
9x = 18
Step 2: Get the x by itself by using the inverse operation
Dividing both sides of the equation by 9:
9x/9 = 18/9
x = 2
So, the solution to the equation is x = 2.