
5(8х+3)-12=83 7(2х+9)+3х=114 3(4х+13)-25=74


Ответы на вопрос

Ответ:
х = 2
х = 3
х = 5
Пошаговое объяснение:
1.
5(8х+3)-12=83
40х+15-12=83
40х+3=83
40х=80
х=2
2.
7(2х+9)+3х=114
14х+63+3х=114
17х=114-63
17х=51
х=51/17
х=3
3.
3(4х+13)-25=74
12х+39-25=74
12х+14=74
12х=74-14
12х=60
х=5



Ответ:
1. x = 2
2. x = 3
3. x = 5
Пошаговое объяснение:
1. 5(8x + 3) - 12 = 83
40x + 15 - 12 = 83
40x + 3 = 83
40x = 83 - 3
40x = 80
x = 2
2. 7(2x + 9) + 3x = 114
14x + 63 + 3x = 114
17x + 63 = 114
17x = 114 - 63
17x = 51
x = 3
3. 3(4x + 13) - 25 = 74
12x + 39 - 25 = 74
12x + 14 = 74
12x = 74 - 14
12x = 60
x = 5



To solve these equations, let's simplify each one step by step:
Equation 1: 5(8x + 3) - 12 = 83
Start by distributing 5 to the terms inside the parentheses: 40x + 15 - 12 = 83
Combine like terms: 40x + 3 = 83
Next, isolate the variable term by subtracting 3 from both sides: 40x = 83 - 3 40x = 80
Finally, solve for x by dividing both sides by 40: x = 80 / 40 x = 2
So the solution to Equation 1 is x = 2.
Equation 2: 7(2x + 9) + 3x = 114
Again, distribute 7 to the terms inside the parentheses: 14x + 63 + 3x = 114
Combine like terms: 17x + 63 = 114
Next, isolate the variable term by subtracting 63 from both sides: 17x = 114 - 63 17x = 51
Finally, solve for x by dividing both sides by 17: x = 51 / 17 x = 3
So the solution to Equation 2 is x = 3.
Equation 3: 3(4x + 13) - 25 = 74
Distribute 3 to the terms inside the parentheses: 12x + 39 - 25 = 74
Combine like terms: 12x + 14 = 74
Next, isolate the variable term by subtracting 14 from both sides: 12x = 74 - 14 12x = 60
Finally, solve for x by dividing both sides by 12: x = 60 / 12 x = 5
So the solution to Equation 3 is x = 5.
In summary: Equation 1: x = 2 Equation 2: x = 3 Equation 3: x = 5


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