Mister Exam

3x-13=7x+17 equation

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Numerical solution:

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The solution

You have entered [src]
3*x - 13 = 7*x + 17
$$3 x - 13 = 7 x + 17$$
Detail solution
Given the linear equation:
3*x-13 = 7*x+17

Move free summands (without x)
from left part to right part, we given:
$$3 x = 7 x + 30$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-4\right) x = 30$$
Divide both parts of the equation by -4
x = 30 / (-4)

We get the answer: x = -15/2
The graph
Rapid solution [src]
x1 = -15/2
$$x_{1} = - \frac{15}{2}$$
x1 = -15/2
Sum and product of roots [src]
sum
-15/2
$$- \frac{15}{2}$$
=
-15/2
$$- \frac{15}{2}$$
product
-15/2
$$- \frac{15}{2}$$
=
-15/2
$$- \frac{15}{2}$$
-15/2
Numerical answer [src]
x1 = -7.5
x1 = -7.5