-4 ( z + 12) = 36

Question

solve for z

Answer 1

To solve for z, we need to isolate it on one side of the equation. Let's go step by step:

First, distribute -4 to z and -4 to 12:
-4z - 48 = 36

Next, let's bring 48 to the other side of the equation by adding 48 to both sides:
-4z = 36 + 48
-4z = 84

Then, we can solve for z by dividing both sides of the equation by -4:
z = 84 / -4
z = -21

Therefore, the value of z that satisfies the equation is z = -21.

Answer 2

2 (x + 9) = 16

Answer 3

To solve the equation 2(x + 9) = 16 for x, we will follow these steps:

Step 1: Distribute the 2 to the terms inside the parentheses:
2 * x = 2x
2 * 9 = 18

So the equation becomes:
2x + 18 = 16

Step 2: To get rid of the 18 on the left side of the equation, we subtract 18 from both sides:
2x + 18 - 18 = 16 - 18
2x = -2

Step 3: Now we want to isolate x, so we need to get rid of the 2 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 2:

(2x) / 2 = -2 / 2
x = -1

So the value of x that satisfies the equation 2(x + 9) = 16 is x = -1.

Answer 4

8 (x - 10) = 56

Answer 5

To solve the equation 8(x - 10) = 56 for x, we will follow these steps:

Step 1: Distribute the 8 to the terms inside the parentheses:
8 * x = 8x
8 * (-10) = -80

So the equation becomes:
8x - 80 = 56

Step 2: To get rid of the -80 on the left side of the equation, we add 80 to both sides:
8x - 80 + 80 = 56 + 80
8x = 136

Step 3: Now we want to isolate x, so we need to get rid of the 8 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 8:

(8x) / 8 = 136 / 8
x = 17

So the value of x that satisfies the equation 8(x - 10) = 56 is x = 17.

Answer 6

10 (z - 1) = 50

Answer 7

To solve the equation 10(z - 1) = 50 for z, we will follow these steps:

Step 1: Distribute the 10 to the terms inside the parentheses:
10 * z = 10z
10 * (-1) = -10

So the equation becomes:
10z - 10 = 50

Step 2: To get rid of the -10 on the left side of the equation, we add 10 to both sides:
10z - 10 + 10 = 50 + 10
10z = 60

Step 3: Now we want to isolate z, so we need to get rid of the 10 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 10:

(10z) / 10 = 60 / 10
z = 6

So the value of z that satisfies the equation 10(z - 1) = 50 is z = 6.

Answer 8

5 (x - 10) = 65

Answer 9

To solve the equation 5(x - 10) = 65 for x, we will follow these steps:

Step 1: Distribute the 5 to the terms inside the parentheses:
5 * x = 5x
5 * (-10) = -50

So the equation becomes:
5x - 50 = 65

Step 2: To get rid of the -50 on the left side of the equation, we add 50 to both sides:
5x - 50 + 50 = 65 + 50
5x = 115

Step 3: Now we want to isolate x, so we need to get rid of the 5 coefficient. To do this, we perform the opposite operation, which is dividing both sides by 5:

(5x) / 5 = 115 / 5
x = 23

So the value of x that satisfies the equation 5(x - 10) = 65 is x = 23.

Answer 10

-4 (x - 8) = -32

Answer 11

To solve the equation -4(x - 8) = -32 for x, we will follow these steps:

Step 1: Distribute the -4 to the terms inside the parentheses:
-4 * x = -4x
-4 * (-8) = 32

So the equation becomes:
-4x + 32 = -32

Step 2: To get rid of the 32 on the left side of the equation, we subtract 32 from both sides:
-4x + 32 - 32 = -32 - 32
-4x = -64

Step 3: Now we want to isolate x, so we need to get rid of the -4 coefficient. To do this, we perform the opposite operation, which is dividing both sides by -4:

(-4x) / -4 = -64 / -4
x = 16

So the value of x that satisfies the equation -4(x - 8) = -32 is x = 16.