To solve the equation -11 + x = -7x - 8(-x + 1), we need to simplify both sides of the equation.
Starting with the left side:
-11 + x = -7x - 8(-x + 1)
-11 + x = -7x + 8x - 8
Simplifying the left side gives:
x - 11 = x - 8
Now, subtracting x from both sides of the equation:
x - x - 11 = x - x - 8
-11 = -8
The equation -11 = -8 is false. Therefore, there are no solutions to the equation.
Solve and Determine if the equation has one, none or infinite solutions.
-11 + x = -7x - 8(-x + 1)
9 answers
Solve and Determine if the equation has one, none or infinite solutions.
33 + 6x = 3(-1 + 5x)
33 + 6x = 3(-1 + 5x)
To solve the equation 33 + 6x = 3(-1 + 5x), we need to simplify both sides of the equation.
Starting with the right side:
3(-1 + 5x) = -3 + 15x
Now the equation becomes:
33 + 6x = -3 + 15x
To isolate the x term on one side, we can subtract 6x from both sides:
33 + 6x - 6x = -3 + 15x - 6x
33 = -3 + 9x
Next, we can add 3 to both sides:
33 + 3 = -3 + 9x + 3
36 = 9x
To find the value of x, we need to divide both sides by 9:
36/9 = 9x/9
4 = x
Therefore, the equation has one solution with x = 4.
Starting with the right side:
3(-1 + 5x) = -3 + 15x
Now the equation becomes:
33 + 6x = -3 + 15x
To isolate the x term on one side, we can subtract 6x from both sides:
33 + 6x - 6x = -3 + 15x - 6x
33 = -3 + 9x
Next, we can add 3 to both sides:
33 + 3 = -3 + 9x + 3
36 = 9x
To find the value of x, we need to divide both sides by 9:
36/9 = 9x/9
4 = x
Therefore, the equation has one solution with x = 4.
Solve and Determine if the equation has one, none or infinite solutions.
-5(x - 1) = 5 - 5x
-5(x - 1) = 5 - 5x
To solve the equation -5(x - 1) = 5 - 5x, we need to distribute -5 to the terms inside the parenthesis.
Starting with the left side:
-5(x - 1) = -5x + 5
Now the equation becomes:
-5x + 5 = 5 - 5x
To simplify further, we can add 5x to both sides:
-5x + 5 + 5x = 5 - 5x + 5x
5 = 5
The equation 5 = 5 is true. Therefore, the equation has infinite solutions because any value of x will satisfy the original equation.
Starting with the left side:
-5(x - 1) = -5x + 5
Now the equation becomes:
-5x + 5 = 5 - 5x
To simplify further, we can add 5x to both sides:
-5x + 5 + 5x = 5 - 5x + 5x
5 = 5
The equation 5 = 5 is true. Therefore, the equation has infinite solutions because any value of x will satisfy the original equation.
Solve and Determine if the equation has one, none or infinite solutions.
12 + 4n = 4(n + 3)
12 + 4n = 4(n + 3)
To solve the equation 12 + 4n = 4(n + 3), we need to simplify both sides of the equation.
Starting with the right side:
4(n + 3) = 4n + 12
Now the equation becomes:
12 + 4n = 4n + 12
We can subtract 4n from both sides to isolate the n term:
12 + 4n - 4n = 4n + 12 - 4n
12 = 12
The equation 12 = 12 is true. Therefore, the equation has infinite solutions because any value of n will satisfy the original equation.
Starting with the right side:
4(n + 3) = 4n + 12
Now the equation becomes:
12 + 4n = 4n + 12
We can subtract 4n from both sides to isolate the n term:
12 + 4n - 4n = 4n + 12 - 4n
12 = 12
The equation 12 = 12 is true. Therefore, the equation has infinite solutions because any value of n will satisfy the original equation.
Solve and Determine if the equation has one, none or infinite solutions.
4(-4 - 8m) + 28m + 4m = -272
4(-4 - 8m) + 28m + 4m = -272
To solve the equation 4(-4 - 8m) + 28m + 4m = -272, we need to simplify both sides of the equation.
Starting with the left side:
4(-4 - 8m) + 28m + 4m = -16 - 32m + 28m + 4m = -16
Now the equation becomes:
-16 = -272
The equation -16 = -272 is false. Therefore, there are no solutions to the equation.
Starting with the left side:
4(-4 - 8m) + 28m + 4m = -16 - 32m + 28m + 4m = -16
Now the equation becomes:
-16 = -272
The equation -16 = -272 is false. Therefore, there are no solutions to the equation.