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professor190 [17]
3 years ago
8

3/5x + 2 =2/3x pls answer

Mathematics
2 answers:
bazaltina [42]3 years ago
5 0

Answer:

\sf{ \dfrac{ 3}{5}x  + 2 =  \dfrac{2}{3} x}

\implies \sf{ \dfrac{2}{3} x -  \dfrac{3}{5} x} = 2

\red\star \sf{take \: l.c.m \: of \: 3 \: and \: 5 = 15}

\implies \sf{ \dfrac{10x  - 9x}{15} = 2 }

\implies \sf{ \dfrac{x}{15} = 2 }

\implies \sf{x = 2 \times 15}

\implies \sf{x = 30}

Ksju [112]3 years ago
5 0

Answer:

x=30

Step-by-step explanation:

3/5x+2=2/3x

So for solving for x you are going to first try to get x on the same side so move 2/3x to the left side of the equal sign. so it becomes 3/5x-2/3x+2=0 then you are going to combine like terms and subtract 2/3x from 3/5x so it becomes 9/15x-10/15x since they have least common denominater which is 15 so it becomes 9/15 and 10/15 then you subtract them so it is -1/15x+2=0 then you are going to move the 2 to the other side of the equal sign so it is -1/15x=-2 then you are going to divide multiply -15 to both sides to get rid of it from the x side so you can isolate it so therefore the answer is x=30

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