5)

Solve. 3x+5=29

7 answers

To solve the equation 3x + 5 = 29, follow these steps:

1. Subtract 5 from both sides of the equation:
3x + 5 - 5 = 29 - 5
This simplifies to:
3x = 24

2. Divide both sides of the equation by 3 to isolate x:
(3x)/3 = 24/3
This simplifies to:
x = 8

Therefore, the solution to the equation 3x + 5 = 29 is x = 8.
7)

Solve. 4x+5=33
To solve the equation 4x + 5 = 33, you can follow these steps:

1. Subtract 5 from both sides of the equation:
4x + 5 - 5 = 33 - 5
This simplifies to:
4x = 28

2. Divide both sides of the equation by 4 to isolate x:
(4x)/4 = 28/4
This simplifies to:
x = 7

Therefore, the solution to the equation 4x + 5 = 33 is x = 7.
8)

Solve. 43x−2=18
To solve the equation 43x - 2 = 18, follow these steps:

1. Add 2 to both sides of the equation:
43x - 2 + 2 = 18 + 2
This simplifies to:
43x = 20

2. Divide both sides of the equation by 43 to isolate x:
(43x)/43 = 20/43
This simplifies to:
x = 20/43

Therefore, the solution to the equation 43x - 2 = 18 is x = 20/43.
Write an equation and solve to find the solution to the following problem.

You have $43 to spend at the mall and a coupon for $5 off at your favorite store. A t-shirt costs $12. How many t-shirts can you buy using your coupon and money?
Let's assume the number of t-shirts you can buy is represented by the variable "x".

The cost of one t-shirt is $12.

Considering the $5 off coupon, the new cost of one t-shirt is $12 - $5 = $7.

You have a total of $43 to spend.

By multiplying the cost of one t-shirt by the number of t-shirts you can buy, the equation becomes: 7x = 43.

To solve for x, divide both sides of the equation by 7:
7x/7 = 43/7.

This simplifies to: x = 6.142857.

Since you can't purchase a fractional part of a t-shirt, we round down to the nearest whole number.

Therefore, you can buy 6 t-shirts using your coupon and money.
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