Mister Exam

Other calculators

3-(x-3)/5=x/4 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]
    x - 3   x
3 - ----- = -
      5     4
$$- \frac{x - 3}{5} + 3 = \frac{x}{4}$$
Detail solution
Given the linear equation:
3-(x-3)/5 = x/4

Expand brackets in the left part
3-x/5+3/5 = x/4

Looking for similar summands in the left part:
18/5 - x/5 = x/4

Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{5} = \frac{x}{4} - \frac{18}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-9\right) x}{20} = - \frac{18}{5}$$
Divide both parts of the equation by -9/20
x = -18/5 / (-9/20)

We get the answer: x = 8
The graph
Sum and product of roots [src]
sum
8
$$8$$
=
8
$$8$$
product
8
$$8$$
=
8
$$8$$
8
Rapid solution [src]
x1 = 8
$$x_{1} = 8$$
x1 = 8
Numerical answer [src]
x1 = 8.0
x1 = 8.0