Mister Exam

Other calculators


5x-2=8(4x-7)-9x

5x-2=8(4x-7)-9x 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]
5*x - 2 = 8*(4*x - 7) - 9*x
$$5 x - 2 = - 9 x + 8 \left(4 x - 7\right)$$
Detail solution
Given the linear equation:
5*x-2 = 8*(4*x-7)-9*x

Expand brackets in the right part
5*x-2 = 8*4*x-8*7-9*x

Looking for similar summands in the right part:
-2 + 5*x = -56 + 23*x

Move free summands (without x)
from left part to right part, we given:
$$5 x = 23 x - 54$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-18\right) x = -54$$
Divide both parts of the equation by -18
x = -54 / (-18)

We get the answer: x = 3
The graph
Sum and product of roots [src]
sum
3
$$3$$
=
3
$$3$$
product
3
$$3$$
=
3
$$3$$
3
Rapid solution [src]
x1 = 3
$$x_{1} = 3$$
x1 = 3
Numerical answer [src]
x1 = 3.0
x1 = 3.0
The graph
5x-2=8(4x-7)-9x equation