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- Equation:
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Equation |x-4|=2
- Equation (2+1.5x)-0.5x=24
- Equation 2*2x=64
- Equation ((y*x)+x)/x-x=y+2021
- Express {x} in terms of y where:
- -13*x-19*y=-7
- 8*x-5*y=9
- -9*x-14*y=11
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Identical expressions
- two - two (2x- five)= three (three -5x)
- 2 minus 2(2x minus 5) equally 3(3 minus 5x)
- two minus two (2x minus five) equally three (three minus 5x)
- 2-22x-5=33-5x
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Similar expressions
- ((-4^2)*y^3)^3*((-5)*x^2*y^4)^2=0
- 2+2(2x-5)=3(3-5x)
- 2-2(2x+5)=3(3-5x)
- 2-2(2x-5)=3(3+5x)
2-2(2x-5)=3(3-5x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 - 2*(2*x - 5) = 3*(3 - 5*x)
$$2 - 2 \left(2 x - 5\right) = 3 \left(3 - 5 x\right)$$
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:
$$- 4 x = - 15 x - 3$$
Move the summands with the unknown x
from the right part to the left part:
$$11 x = -3$$
Divide both parts of the equation by 11
We get the answer: x = -3/11
2-2*(2*x-5) = 3*(3-5*x)
Expand brackets in the left part
2-2*2*x+2*5 = 3*(3-5*x)
Expand brackets in the right part
2-2*2*x+2*5 = 3*3-3*5*x
Looking for similar summands in the left part:
12 - 4*x = 3*3-3*5*x
Move free summands (without x)
from left part to right part, we given:
$$- 4 x = - 15 x - 3$$
Move the summands with the unknown x
from the right part to the left part:
$$11 x = -3$$
Divide both parts of the equation by 11
x = -3 / (11)
We get the answer: x = -3/11
Sum and product of roots
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sum
-3/11
$$- \frac{3}{11}$$
=
-3/11
$$- \frac{3}{11}$$
product
-3/11
$$- \frac{3}{11}$$
=
-3/11
$$- \frac{3}{11}$$
-3/11