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 Response area,
Step 2: Get x-terms on same side of equation Response area
Step 3: Get constants on same side of equation Response area
Step 4: Get the x by itself by using the inverse operation
Step 1: Combine like terms
5x - 6x - 10x = -12 + 7 - 1
Step 2: Get x-terms on same side of equation
-11x = -6
Step 3: Get constants on same side of equation
-11x + 6 = 0
Step 4: Get the x by itself by using the inverse operation
-11x = -6
x = 6/11
Step 1: Combine like terms
5x - 12 - 6x = -10x + 7 - 1
Combine the x terms on the left side:
(5x - 6x) - 12 = -10x + 7 - 1
Simplify:
-1x - 12 = -10x + 6
Step 2: Get x-terms on the same side of the equation
Move -10x to the left side by adding 10x to both sides:
-1x + 10x - 12 = -10x + 10x + 6
Simplify:
9x - 12 = 6
Step 3: Get the constants on the same side of the equation
Move -12 to the right side by adding 12 to both sides:
9x - 12 + 12 = 6 + 12
Simplify:
9x = 18
Step 4: Get x by itself by using the inverse operation
Divide both sides by 9 to isolate x:
(9x)/9 = 18/9
Simplify:
x = 2