Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 1/(x-1)^2+2/(x-1)-3=0
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Equation 1/(x+6)=2
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Equation (x-4)^2-x^2=0
- Express {x} in terms of y where:
- 7*x-1*y=-7
- 10*x-15*y=16
- -14*x-12*y=5
- 13*x-12*y=19
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Identical expressions
- -(fifty-three / ten)*x+(nine / two)=(forty-seven / ten)*x-(eleven / two)
- minus (53 divide by 10) multiply by x plus (9 divide by 2) equally (47 divide by 10) multiply by x minus (11 divide by 2)
- minus (fifty minus three divide by ten) multiply by x plus (nine divide by two) equally (forty minus seven divide by ten) multiply by x minus (eleven divide by two)
- -(53/10)x+(9/2)=(47/10)x-(11/2)
- -53/10x+9/2=47/10x-11/2
- -(53 divide by 10)*x+(9 divide by 2)=(47 divide by 10)*x-(11 divide by 2)
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Similar expressions
- (53/10)*x+(9/2)=(47/10)*x-(11/2)
- -(53/10)*x+(9/2)=(47/10)*x+(11/2)
- -(53/10)*x-(9/2)=(47/10)*x-(11/2)
-(53/10)*x+(9/2)=(47/10)*x-(11/2) equation
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The solution
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53*x 9 47*x 11 - ---- + - = ---- - -- 10 2 10 2
$$\frac{9}{2} - \frac{53 x}{10} = \frac{47 x}{10} - \frac{11}{2}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Move free summands (without x)
from left part to right part, we given:
$$- \frac{53 x}{10} = \frac{47 x}{10} - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-10\right) x = -10$$
Divide both parts of the equation by -10
We get the answer: x = 1
-(53/10)*x+(9/2) = (47/10)*x-(11/2)
Expand brackets in the left part
-53/10x+9/2 = (47/10)*x-(11/2)
Expand brackets in the right part
-53/10x+9/2 = 47/10x-11/2
Move free summands (without x)
from left part to right part, we given:
$$- \frac{53 x}{10} = \frac{47 x}{10} - 10$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-10\right) x = -10$$
Divide both parts of the equation by -10
x = -10 / (-10)
We get the answer: x = 1