Respuesta :
Close, it's actually 10/9 or 1 1/9
This one's a bit more work because it includes factoring.
4/5x + 4/3 = 2x
First simplify 4/5x
4/5x= (4/5) (X/1)= 4x/5
4x/5 +4/3=2x
Move the terms with x to the left by subtracting 2x from both side. This cancels out the 2x on the right and will cause the equation to temporarily equal 0.
4x/5 + (-2x) + 4/3=0
Simplify -2x as well and so it will be -2x/1
-2x/1 must have the common denominator of 5 and to get that, you must multiply.
4X/5 + (-2X/1) (5/5) +4/3=0
4x/5 + ((-2x)(5)/5) +4/3=0
Since 4x/5 and -2x(5)/5 have a common denominator (5), combine the numerators.
(4x -2x(5))/5 +4/3=0
You're going to have to factor 2x from both 4x -2x(5)
2x(2-1(5))
2x (-3)/5
-6x/5 +4/3=0
You want to have x by itself and since 4/3 is the only fraction without a variable, subtract it so it will be on the opposite side.
-6x/5=-4/3
Multiply 5 on both sides so that the fraction with the variable is no longer a fraction.
-6x=-20/3
Multiply -1/6 from both side to get the answer of x.
-6x/-6= -20/3 (-1/6)
-1/6 cancels out -6 allowing x to be by itself. In order to get x by itself, factor 6 from -6
-6x/ -6
- 6x/ 6(-1) Cancel out the common factors (6)
-x/-1 You must rewrite the equation
- (-1) x= x
x=-20/3 (-1/6)
Multiply and then simplify the answer by finding the common factor which is 2.
x=20/18= 10/9
x=10/9 which is an improper fraction.
The mixed number will be 1 1/9
This one's a bit more work because it includes factoring.
4/5x + 4/3 = 2x
First simplify 4/5x
4/5x= (4/5) (X/1)= 4x/5
4x/5 +4/3=2x
Move the terms with x to the left by subtracting 2x from both side. This cancels out the 2x on the right and will cause the equation to temporarily equal 0.
4x/5 + (-2x) + 4/3=0
Simplify -2x as well and so it will be -2x/1
-2x/1 must have the common denominator of 5 and to get that, you must multiply.
4X/5 + (-2X/1) (5/5) +4/3=0
4x/5 + ((-2x)(5)/5) +4/3=0
Since 4x/5 and -2x(5)/5 have a common denominator (5), combine the numerators.
(4x -2x(5))/5 +4/3=0
You're going to have to factor 2x from both 4x -2x(5)
2x(2-1(5))
2x (-3)/5
-6x/5 +4/3=0
You want to have x by itself and since 4/3 is the only fraction without a variable, subtract it so it will be on the opposite side.
-6x/5=-4/3
Multiply 5 on both sides so that the fraction with the variable is no longer a fraction.
-6x=-20/3
Multiply -1/6 from both side to get the answer of x.
-6x/-6= -20/3 (-1/6)
-1/6 cancels out -6 allowing x to be by itself. In order to get x by itself, factor 6 from -6
-6x/ -6
- 6x/ 6(-1) Cancel out the common factors (6)
-x/-1 You must rewrite the equation
- (-1) x= x
x=-20/3 (-1/6)
Multiply and then simplify the answer by finding the common factor which is 2.
x=20/18= 10/9
x=10/9 which is an improper fraction.
The mixed number will be 1 1/9
