Fill in the blanks to follow the steps in solving the equation:
5x−12−6x=−10x+7−1 Step 1: Combine like terms Response area,
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
To combine like terms, we can add or subtract the coefficients of the x terms and the constants separately.
5x - 12 - 6x = -10x + 7 - 1
Combine the x terms:
(5x - 6x) - 12 = -10x + 7 - 1
Simplify:
-1x - 12 = -10x + 6
Step 2: Get x-terms on the same side of the equation
To get the x-terms on the same side, we can add or subtract the x terms on one side of the equation to the other side.
-1x + 10x - 12 = -10x + 10x + 6
Combine the x terms on the left side of the equation:
(-1 + 10)x - 12 = 0x + 6
Simplify:
9x - 12 = 6
Step 3: Get the constants on the same side of the equation
To get the constants on the same side, we can add or subtract them to one side of the equation to the other side.
9x - 12 + 12 = 6 + 12
Simplify:
9x = 18
Step 4: Get the x by itself by using the inverse operation
To get the x by itself, we can divide both sides of the equation by the coefficient of x, which is 9.
(9x)/9 = 18/9
Simplify:
x = 2
Therefore, the solution to the equation is x = 2.
Step 1: Combine like terms Response area:
-12 - 1 = -13
-6x - 10x = -16x
-10x + 7 = 7
Step 2: Get x-terms on the same side of the equation:
5x - 16x = -13 - 7x
Step 3: Get constants on the same side of the equation:
-16x - 7x = -13
Step 4: Get the x by itself by using the inverse operation:
-23x = -13
To solve for x, divide both sides of the equation by -23:
x = -13 / -23
The final solution is:
x = 13/23