
1)10x+7=8x-9 2)20-3x=2x-45 3)2,7+1,9x=2x+1,5 4)13/18x+13=7/12x+8 решите пожайлуста(


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Solution:
To solve the given equations, let's solve them one by one:
Equation 1: 10x + 7 = 8x - 9
To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by subtracting 8x from both sides and subtracting 7 from both sides:
10x + 7 - 8x = 8x - 9 - 8x
Simplifying the equation:
2x + 7 = -9
Next, we can isolate the variable x by subtracting 7 from both sides:
2x + 7 - 7 = -9 - 7
Simplifying further:
2x = -16
Finally, we can solve for x by dividing both sides of the equation by 2:
x = -8
Equation 2: 20 - 3x = 2x - 45
To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by adding 3x to both sides and adding 45 to both sides:
20 - 3x + 3x = 2x - 45 + 3x
Simplifying the equation:
20 = 5x - 45
Next, we can isolate the variable x by adding 45 to both sides:
20 + 45 = 5x - 45 + 45
Simplifying further:
65 = 5x
Finally, we can solve for x by dividing both sides of the equation by 5:
x = 13
Equation 3: 2.7 + 1.9x = 2x + 1.5
To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by subtracting 2x from both sides and subtracting 2.7 from both sides:
2.7 + 1.9x - 2x = 2x - 2x + 1.5 - 2.7
Simplifying the equation:
1.9x - 2x = -1.2
Next, we can combine like terms:
-0.1x = -1.2
Finally, we can solve for x by dividing both sides of the equation by -0.1:
x = 12
Equation 4: (13/18)x + 13 = (7/12)x + 8
To solve this equation, we need to isolate the variable x on one side of the equation. We can do this by subtracting (7/12)x from both sides and subtracting 13 from both sides:
(13/18)x + 13 - (7/12)x = (7/12)x - (7/12)x + 8 - 13
Simplifying the equation:
(13/18)x - (7/12)x = -5
Next, we need to find a common denominator for the fractions:
(13/18)x - (7/12)x = -5
Multiplying the first fraction by 2/2 and the second fraction by 3/3:
(26/36)x - (21/36)x = -5
Combining like terms:
(5/36)x = -5
Finally, we can solve for x by multiplying both sides of the equation by the reciprocal of (5/36), which is (36/5):
x = -5 * (36/5)
Simplifying further:
x = -36
Therefore, the solutions to the given equations are: - x = -8 - x = 13 - x = 12 - x = -36


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