Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation exp(x)=0
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Equation 2*x^2+5*x-25=13*x+17
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Equation 3*x-15=0
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Equation 0=2-3x
- Express {x} in terms of y where:
- 9*x-19*y=-20
- 15*x+17*y=-10
- -11*x-18*y=6
- -7*x-5*y=-17
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Identical expressions
- zero . four *(x- three)-(eight / five)= five *((one / ten)*x-(one / two))
- 0.4 multiply by (x minus 3) minus (8 divide by 5) equally 5 multiply by ((1 divide by 10) multiply by x minus (1 divide by 2))
- zero . four multiply by (x minus three) minus (eight divide by five) equally five multiply by ((one divide by ten) multiply by x minus (one divide by two))
- 0.4(x-3)-(8/5)=5((1/10)x-(1/2))
- 0.4x-3-8/5=51/10x-1/2
- 0.4*(x-3)-(8 divide by 5)=5*((1 divide by 10)*x-(1 divide by 2))
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Similar expressions
- 0.4*(x+3)-(8/5)=5*((1/10)*x-(1/2))
- 0.4*(x-3)+(8/5)=5*((1/10)*x-(1/2))
- 0.4*(x-3)-(8/5)=5*((1/10)*x+(1/2))
0.4*(x-3)-(8/5)=5*((1/10)*x-(1/2)) equation
The teacher will be very surprised to see your correct solution 😉
The solution
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2*(x - 3) 8 /x 1\
--------- - - = 5*|-- - -|
5 5 \10 2/
$$\frac{2 \left(x - 3\right)}{5} - \frac{8}{5} = 5 \left(\frac{x}{10} - \frac{1}{2}\right)$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = \frac{x}{2} + \frac{3}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-1\right) x}{10} = \frac{3}{10}$$
Divide both parts of the equation by -1/10
We get the answer: x = -3
(2/5)*(x-3)-(8/5) = 5*((1/10)*x-(1/2))
Expand brackets in the left part
2/5x-3-8/5 = 5*((1/10)*x-(1/2))
Expand brackets in the right part
2/5x-3-8/5 = 5*1/10x-1/2)
Looking for similar summands in the left part:
-14/5 + 2*x/5 = 5*1/10x-1/2)
Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = \frac{x}{2} + \frac{3}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-1\right) x}{10} = \frac{3}{10}$$
Divide both parts of the equation by -1/10
x = 3/10 / (-1/10)
We get the answer: x = -3