Question

2(11х-5)-17х=55 5(8х+3)-12=83

Answer 1

2(11х-5)-17х=55
22х-10-17х=55
5х-10=55
5х=10+55
5х=65
х=65:5
х=13

5(8х+3)-12=83
40х+15-12=83
40х+3=83
40х=83-3
40х=80
х=80:40
х=2

Answer 2

To solve the equations, let's simplify and isolate the variable "x" step by step. We'll start with the first equation:

1. 2(11x - 5) - 17x = 55

Expand the brackets:

2 * 11x - 2 * 5 - 17x = 55

Now combine like terms:

22x - 10 - 17x = 55

Simplify further:

(22x - 17x) - 10 = 55

5x - 10 = 55

2. 5(8x + 3) - 12 = 83

Expand the brackets:

5 * 8x + 5 * 3 - 12 = 83

Combine like terms:

40x + 15 - 12 = 83

Simplify further:

40x + 3 = 83

Now, we'll solve each equation for "x."

1. 5x - 10 = 55

Add 10 to both sides to isolate the variable term:

5x = 65

Divide by 5 to solve for "x":

x = 65 / 5

x = 13

2. 40x + 3 = 83

Subtract 3 from both sides to isolate the variable term:

40x = 80

Divide by 40 to solve for "x":

x = 80 / 40

x = 2

So, the solutions for the equations are:

x = 13 (for the first equation) x = 2 (for the second equation)