Mister Exam

Other calculators


3(5-x)+13=4(3x-8)

3(5-x)+13=4(3x-8) 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*(5 - x) + 13 = 4*(3*x - 8)
3(5x)+13=4(3x8)3 \left(5 - x\right) + 13 = 4 \left(3 x - 8\right)
Detail solution
Given the linear equation:
3*(5-x)+13 = 4*(3*x-8)

Expand brackets in the left part
3*5-3*x+13 = 4*(3*x-8)

Expand brackets in the right part
3*5-3*x+13 = 4*3*x-4*8

Looking for similar summands in the left part:
28 - 3*x = 4*3*x-4*8

Move free summands (without x)
from left part to right part, we given:
3x=12x60- 3 x = 12 x - 60
Move the summands with the unknown x
from the right part to the left part:
(15)x=60\left(-15\right) x = -60
Divide both parts of the equation by -15
x = -60 / (-15)

We get the answer: x = 4
The graph
02468-6-4-2141012-250250
Sum and product of roots [src]
sum
4
44
=
4
44
product
4
44
=
4
44
4
Rapid solution [src]
x1 = 4
x1=4x_{1} = 4
x1 = 4
Numerical answer [src]
x1 = 4.0
x1 = 4.0
The graph
3(5-x)+13=4(3x-8) equation