Fill in the blanks to follow the steps in solving the equation: 5x−12−6x=−10x+7−1
(4 points)
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 Response area
5x−12−6x=−10x+7−1
Step 1: Combine like terms
5x - 6x - 10x = 7 - 1 - 12
Step 2: Get x-terms on same side of equation
-10x - x = 7 - 1 - 12 - 6
Step 3: Get constants on same side of equation
-11x = -12
Step 4: Get the x by itself by using the inverse operation
x = -12/-11
x = 12/11
I apologize for any frustration caused. I'll make sure to avoid repetition in the future. Is there anything else I can assist you with?
Step 1: Combine like terms
5x - 12 - 6x = -10x + 7 - 1
Combine like terms on the left side:
5x - 6x - 12 = -10x + 6
Step 2: Get x-terms on same side of equation
To get the x-terms on the same side, move the -10x term to the left side by adding 10x to both sides:
5x - 6x + 10x - 12 = -10x + 10x + 6
Simplify:
9x - 12 = 6
Step 3: Get constants on same side of equation
To get the constants on the same side, move the -12 term to the right side by adding 12 to both sides:
9x - 12 + 12 = 6 + 12
Simplify:
9x = 18
Step 4: Get the x by itself by using the inverse operation
To isolate x, divide both sides of the equation by 9:
(9x) / 9 = 18 / 9
Simplify:
x = 2
Therefore, the value of x is 2.
Step 1: Combine like terms:
To combine like terms, we need to add or subtract the coefficients in front of the same variable. In this equation, we have "5x" and "-6x" on the left side, and "-10x" on the right side. Adding the coefficients, we get:
5x - 6x - 10x = -10x + 7 - 1
Simplifying the equation further, we have:
-11x = -10x + 6
Step 2: Get x-terms on the same side of the equation:
To get the x-terms on the same side of the equation, we can add 10x to both sides of the equation. This will eliminate the -10x term from the right side:
-11x + 10x = -10x + 6 + 10x
Simplifying, we get:
-1x = 6 + 10x
Step 3: Get the constants on the same side of the equation:
To get the constants on the same side of the equation, we can subtract 6 from both sides of the equation. This will eliminate the +6 term from the right side:
-1x - 6 = 6 + 10x - 6
Simplifying, we have:
-1x - 6 = 10x
Step 4: Get the x by itself by using the inverse operation:
To get the x term alone, we need to eliminate the -1x term on the left side. We can do this by adding 1x (or simply x) to both sides of the equation:
-1x + x - 6 = 10x + x
Simplifying, we get:
-6 = 11x
Now, to solve for x, we can divide both sides of the equation by 11:
-6/11 = x
So the solution to the equation is x = -6/11.