How To Solve The Problem 3/4x-5=2/3x+5? Please Solve With Steps.
Trying to solve a homework problem.
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Here is the solution:
3/4x-5=2/3x+5
3x(3/4x - 5) = 2 + 15x
3x(3 - 20x) = 4x(2 + 15x)
9x - 60xsquare = 8x +60xsquare
9x - 8x = 60xsquare + 60xsquare
x = 120xsquare
Dividing both sides by x
1 = 120x
x = 1/120 is the answer
3/4x-5=2/3x+5
3x(3/4x - 5) = 2 + 15x
3x(3 - 20x) = 4x(2 + 15x)
9x - 60xsquare = 8x +60xsquare
9x - 8x = 60xsquare + 60xsquare
x = 120xsquare
Dividing both sides by x
1 = 120x
x = 1/120 is the answer
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Thanks for your assistance.
How to solve ¾(x) – 5 = 2/3(x) + 5 , we have 3 and 4 so lets use 12 as denominator.
Place all terms with a denominator of 12: 9/12(x) – 60/12 = 8/12(x) + 60/12
Get all like terms on each side.
You get: 9/12(x) - 8/12(x) = 60/12 + 60/12
Multiply all terms by 12 to get rid of the denominator: 9(x) -8(x) = 120
The answer is x = 120
To check math replace x with 120 into the initial equation.
¾(120) – 5 = 2/3(120) + 5
90 – 5 = 80 +5
85 = 85 The math is correct!
Place all terms with a denominator of 12: 9/12(x) – 60/12 = 8/12(x) + 60/12
Get all like terms on each side.
You get: 9/12(x) - 8/12(x) = 60/12 + 60/12
Multiply all terms by 12 to get rid of the denominator: 9(x) -8(x) = 120
The answer is x = 120
To check math replace x with 120 into the initial equation.
¾(120) – 5 = 2/3(120) + 5
90 – 5 = 80 +5
85 = 85 The math is correct!
This answer is wrong
3/4x-5=2/3x+5
3/4x=2/3x+5+5
3/4x=2/3x+10
3/4x-2/3x=10
(3/4x-2/3x)=10..........(find the lcm of 4 and 3 = 12, 4 can go in 12 3 time, so 3 multiply by 3x (numerato of 4) = 9x and 3 can go in 12 4 time, so 4 multiply by 2x (numerator of 3) = 8x)
x/12=10
x=10x12
x=120
3/4x-5=2/3x+5
3/4x=2/3x+5+5
3/4x=2/3x+10
3/4x-2/3x=10
(3/4x-2/3x)=10..........(find the lcm of 4 and 3 = 12, 4 can go in 12 3 time, so 3 multiply by 3x (numerato of 4) = 9x and 3 can go in 12 4 time, so 4 multiply by 2x (numerator of 3) = 8x)
x/12=10
x=10x12
x=120
1)times everything by 12 (lcm) 9x-60=8x+60
2)like numbers on one side x=120
much easier then the other work people did
2)like numbers on one side x=120
much easier then the other work people did
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