What is the solution of the equation 8(x − 10) = 56 when solving for x
?(1 point)
Complete the statement: x = blank
fill in the blank
.
x = 18
wrong
I apologize for the incorrect response. Let's solve the equation correctly:
To solve the equation 8(x - 10) = 56 for x, we can follow these steps:
1. Distribute 8 into the parentheses:
8x - 80 = 56
2. Add 80 to both sides of the equation to isolate the variable term:
8x - 80 + 80 = 56 + 80
8x = 136
3. Divide both sides of the equation by 8 to solve for x:
8x/8 = 136/8
x = 17
Therefore, the solution to the equation is x = 17.
What is the solution of the equation 10(z − 1) = 50 when solving for z
?(1 point)
Complete the statement: z = blank
fill in the blank
.
To solve the equation 10(z - 1) = 50 for z, we can follow these steps:
1. Distribute 10 into the parentheses:
10z - 10 = 50
2. Add 10 to both sides of the equation to isolate the variable term:
10z - 10 + 10 = 50 + 10
10z = 60
3. Divide both sides of the equation by 10 to solve for z:
10z/10 = 60/10
z = 6
Therefore, the solution to the equation is z = 6.
What is the solution to the equation 5(x − 10) = 65 when solving for x
?(1 point)
Complete the statement: x = blank
fill in the blank
.
To solve the equation 5(x - 10) = 65 for x, we can follow these steps:
1. Distribute 5 into the parentheses:
5x - 50 = 65
2. Add 50 to both sides of the equation to isolate the variable term:
5x - 50 + 50 = 65 + 50
5x = 115
3. Divide both sides of the equation by 5 to solve for x:
5x/5 = 115/5
x = 23
Therefore, the solution to the equation is x = 23.
What is the solution to the equation −4(x − 8) =−32 when solving for x
?(1 point)
Complete the statement: x = blank
.fill in the blank
To solve the equation -4(x - 8) = -32 for x, we can follow these steps:
1. Distribute -4 into the parentheses:
-4x + 32 = -32
2. Subtract 32 from both sides of the equation to isolate the variable term:
-4x + 32 - 32 = -32 - 32
-4x = -64
3. Divide both sides of the equation by -4 to solve for x:
-4x/-4 = -64/-4
x = 16
Therefore, the solution to the equation is x = 16.