Mister Exam

x-5x+3=4x-2 equation

The teacher will be very surprised to see your correct solution 😉

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Numerical solution:

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The solution

You have entered [src]
x - 5*x + 3 = 4*x - 2
$$\left(- 5 x + x\right) + 3 = 4 x - 2$$
Detail solution
Given the linear equation:
x-5*x+3 = 4*x-2

Looking for similar summands in the left part:
3 - 4*x = 4*x-2

Move free summands (without x)
from left part to right part, we given:
$$- 4 x = 4 x - 5$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-8\right) x = -5$$
Divide both parts of the equation by -8
x = -5 / (-8)

We get the answer: x = 5/8
The graph
Rapid solution [src]
x1 = 5/8
$$x_{1} = \frac{5}{8}$$
x1 = 5/8
Sum and product of roots [src]
sum
5/8
$$\frac{5}{8}$$
=
5/8
$$\frac{5}{8}$$
product
5/8
$$\frac{5}{8}$$
=
5/8
$$\frac{5}{8}$$
5/8
Numerical answer [src]
x1 = 0.625
x1 = 0.625