2(x+5)=32

x=?

11 answers

To solve the equation 2(x + 5) = 32, you need to distribute the 2 to both terms inside the parentheses.

2(x + 5) = 32
2x + 10 = 32

Next, subtract 10 from both sides of the equation.

2x + 10 - 10 = 32 - 10
2x = 22

Finally, divide both sides of the equation by 2 to solve for x.

(2x)/2 = 22/2
x = 11

Therefore, x = 11.
3(2x+5)-1=62
x=?
To solve the equation 3(2x + 5) - 1 = 62, follow these steps:

First, distribute the 3 to both terms inside the parentheses:

3(2x + 5) - 1 = 62
6x + 15 - 1 = 62

Combine like terms:

6x + 14 = 62

Next, isolate the variable term by subtracting 14 from both sides:

6x + 14 - 14 = 62 - 14
6x = 48

Finally, solve for x by dividing both sides by 6:

(6x)/6 = 48/6
x = 8

Therefore, x = 8.
2y+5+3y-1=74
y=?
To solve the equation 2y + 5 + 3y - 1 = 74, follow these steps:

First, combine like terms:

2y + 3y + 5 - 1 = 74
5y + 4 = 74

Next, isolate the variable term by subtracting 4 from both sides:

5y + 4 - 4 = 74 - 4
5y = 70

Finally, solve for y by dividing both sides by 5:

(5y)/5 = 70/5
y = 14

Therefore, y = 14.
-4(3x+2)=-68
x=?
To solve the equation -4(3x + 2) = -68, follow these steps:

First, distribute the -4 to both terms inside the parentheses:

-4(3x + 2) = -68
-12x - 8 = -68

Next, isolate the variable term by adding 8 to both sides:

-12x - 8 + 8 = -68 + 8
-12x = -60

Finally, solve for x by dividing both sides by -12:

(-12x)/-12 = -60/-12
x = 5

Therefore, x = 5.
3y-5(2y-4)=-62
y=?
To solve the equation 3y - 5(2y - 4) = -62, follow these steps:

First, distribute the -5 to both terms inside the parentheses:

3y - 5(2y - 4) = -62
3y - 10y + 20 = -62

Next, combine like terms:

-7y + 20 = -62

Next, isolate the variable term by subtracting 20 from both sides:

-7y + 20 - 20 = -62 - 20
-7y = -82

Finally, solve for y by dividing both sides by -7:

(-7y)/-7 = -82/-7
y = 82/7

Therefore, y = 82/7.
3y-5(2y-4)=62
y=?
To solve the equation 3y - 5(2y - 4) = 62, follow these steps:

First, distribute the -5 to both terms inside the parentheses:

3y - 5(2y - 4) = 62
3y - 10y + 20 = 62

Next, combine like terms:

-7y + 20 = 62

Next, isolate the variable term by subtracting 20 from both sides:

-7y + 20 - 20 = 62 - 20
-7y = 42

Finally, solve for y by dividing both sides by -7:

(-7y)/-7 = 42/-7
y = -6

Therefore, y = -6.