
1)0.2-2(х+1)=0.4х 2)2/5у+3/5=1/5у-0.1 3)х-1/2=4+2х/3 4)3/4х=-7/8 5)х:(-0.15)=-0.4 6)-3×(-х)=-210
7)(2/5-1)÷3/10 Решите уравнения

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Sure, I'll help you solve these equations step-by-step:
- 0.2 - 2(x + 1) = 0.4x
First, distribute the -2:
0.2 - 2x - 2 = 0.4x
Combine like terms:
-2x - 1.8 = 0.4x
Add 2x to both sides to get x terms on one side:
-1.8 = 0.4x + 2x
Combine x terms:
-1.8 = 2.4x
Now, divide by 2.4 to solve for x:
x = -1.8 / 2.4
x = -0.75
- 2/5y + 3/5 = 1/5y - 0.1
First, let's isolate the y term on one side. Subtract 1/5y from both sides:
2/5y - 1/5y + 3/5 = -0.1
Now, combine like terms:
1/5y + 3/5 = -0.1
Next, subtract 3/5 from both sides:
1/5y = -0.1 - 3/5
To get rid of the fraction, multiply both sides by 5:
y = (-0.1 - 3/5) * 5
Now, calculate the right-hand side:
y = (-0.1 * 5) - (3/5 * 5)
y = -0.5 - 3
y = -3.5
- x - 1/2 = 4 + 2x/3
To get rid of the fraction, let's multiply everything by 6 (the least common multiple of 2 and 3):
6x - 3 = 24 + 4x
Now, move the x terms to one side by subtracting 4x from both sides and move the constant term to the other side by adding 3:
6x - 4x = 24 + 3
2x = 27
Now, divide by 2 to solve for x:
x = 27 / 2
x = 13.5
- 3/4x = -7/8
To solve for x, multiply both sides by 4/3 (the reciprocal of 3/4):
x = (-7/8) * (4/3)
x = -7/6
- x / (-0.15) = -0.4
To solve for x, multiply both sides by -0.15:
x = -0.4 * (-0.15)
x = 0.06
- -3 × (-x) = -210
Multiply the numbers on the left side:
3x = -210
Now, divide by 3 to solve for x:
x = -210 / 3
x = -70
- (2/5 - 1) ÷ 3/10
First, subtract 1 from 2/5:
(2/5 - 1) ÷ 3/10
= (-3/5) ÷ 3/10
To divide by a fraction, multiply by its reciprocal:
= (-3/5) * (10/3)
= -30/15
Now, simplify the fraction:
= -2
So, the value of the expression is -2.


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