Mister Exam

Other calculators

3x+2=5x-7 equation

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

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
3*x + 2 = 5*x - 7
$$3 x + 2 = 5 x - 7$$
Detail solution
Given the linear equation:
3*x+2 = 5*x-7

Move free summands (without x)
from left part to right part, we given:
$$3 x = 5 x - 9$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x = -9$$
Divide both parts of the equation by -2
x = -9 / (-2)

We get the answer: x = 9/2
The graph
Rapid solution [src]
x1 = 9/2
$$x_{1} = \frac{9}{2}$$
x1 = 9/2
Sum and product of roots [src]
sum
9/2
$$\frac{9}{2}$$
=
9/2
$$\frac{9}{2}$$
product
9/2
$$\frac{9}{2}$$
=
9/2
$$\frac{9}{2}$$
9/2
Numerical answer [src]
x1 = 4.5
x1 = 4.5