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-2/5x+3=2/3x+1/3 solve the equation PLEASE

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6 votes
0.4!!!!!!!!!!!!!!!!!!!!!
User Eresonance
by
7.8k points
4 votes

Answer:

x = 15/8

Explanation:

To solve the equation -2/5x + 3 = 2/3x + 1/3, you can follow these steps:

First, let's get rid of the fractions. To do this, you can multiply both sides of the equation by the least common multiple (LCM) of 5 and 3, which is 15. This will clear the fractions.

(15) * (-2/5x + 3) = (15) * (2/3x + 1/3)

Distribute the 15 on both sides of the equation:

-2(3x) + 15(3) = 2(5x) + 15(1)

Simplify each side of the equation:

-6x + 45 = 10x + 15

Now, let's isolate the variable x. First, subtract 10x from both sides of the equation:

-6x - 10x + 45 = 15

-16x + 45 = 15

Next, subtract 45 from both sides to isolate -16x:

-16x + 45 - 45 = 15 - 45

-16x = -30

Finally, divide both sides by -16 to solve for x:

(-16x) / (-16) = (-30) / (-16)

x = 15/8

So, the solution to the equation is:

x = 15/8

User Asikorski
by
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