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zheka24 [161]
3 years ago
8

What is the solution to the equation 1/3 (x - 2) = 1/5 (x + 4) + 2?

Mathematics
2 answers:
allsm [11]3 years ago
6 0
The solution is x=26
VladimirAG [237]3 years ago
5 0

Answer:

The solution is x = 26

Step-by-step explanation:

Here, the given equation is,

\frac{1}{3}(x-2)=\frac{1}{5}(x+4)+2

Add fractions on right side,

\frac{1}{3}(x-2)=\frac{x+4+10}{5}

By cross multiplication,

5(x-2)=3(x+14)

By distributive property,

5x-10=3x+42

Adding 10 on both sides,

5x=3x+52

Subtract 3x on both sides,

2x=52

Divide both sides by 2,

x=26

Which is the required solution,

Last option is correct.

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Log2(3x-1) = log2 (x+8)
Keith_Richards [23]

Answer:

X= 9/2  

Alternative form

x=4 1/2, x=4.5

Step-by-step explanation:

*= Multiply

1. log (little 10 under) (2)*(3x-1)= log (little 10 under) (2)*(x+8)

2. then divide both side by log (little 10 under (2))

3. 3x-1=x+8

4. move variable to the left side and change its sign

5. 3x-x-1=8

6. then move constant to the right side and change its sign

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4 0
3 years ago
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8 0
3 years ago
-2 + 3b = 5b - 2(2b + 3) How do you solve for b?
mina [271]
-2 + 3b = 5b - 2(2b + 3)  Distribute the -2 through the parentheses.
-2 + 3b = 5b - 4b - 6        Combine like terms
-2 + 3b = b - 6                 Bring all "b's" to one side of the equation
-2 + 3b - b = b - b - 6       Combine like terms
-2 + 2b = -6                      Bring the 2 to the right side of the equation
-2 + 2 + 2b = -6 + 2          Combine like terms
2b = -4                              Isolate b by dividing both sides by 2
b = -4/2 = -2

Answer b = -2
6 0
3 years ago
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