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-3(1-x)=-4(7x-5) equation

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Numerical solution:

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The solution

You have entered [src]
-3*(1 - x) = -4*(7*x - 5)
$$- 3 \left(1 - x\right) = - 4 \left(7 x - 5\right)$$
Detail solution
Given the linear equation:
-3*(1-x) = -4*(7*x-5)

Expand brackets in the left part
-3*1+3*x = -4*(7*x-5)

Expand brackets in the right part
-3*1+3*x = -4*7*x+4*5

Move free summands (without x)
from left part to right part, we given:
$$3 x = 23 - 28 x$$
Move the summands with the unknown x
from the right part to the left part:
$$31 x = 23$$
Divide both parts of the equation by 31
x = 23 / (31)

We get the answer: x = 23/31
The graph
Rapid solution [src]
     23
x1 = --
     31
$$x_{1} = \frac{23}{31}$$
x1 = 23/31
Sum and product of roots [src]
sum
23
--
31
$$\frac{23}{31}$$
=
23
--
31
$$\frac{23}{31}$$
product
23
--
31
$$\frac{23}{31}$$
=
23
--
31
$$\frac{23}{31}$$
23/31
Numerical answer [src]
x1 = 0.741935483870968
x1 = 0.741935483870968