Mister Exam

Other calculators

5x-12-2(x-1)=3(5-2x)+4x 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 - 12 - 2*(x - 1) = 3*(5 - 2*x) + 4*x
$$- 2 \left(x - 1\right) + \left(5 x - 12\right) = 4 x + 3 \left(5 - 2 x\right)$$
Detail solution
Given the linear equation:
5*x-12-2*(x-1) = 3*(5-2*x)+4*x

Expand brackets in the left part
5*x-12-2*x+2*1 = 3*(5-2*x)+4*x

Expand brackets in the right part
5*x-12-2*x+2*1 = 3*5-3*2*x+4*x

Looking for similar summands in the left part:
-10 + 3*x = 3*5-3*2*x+4*x

Looking for similar summands in the right part:
-10 + 3*x = 15 - 2*x

Move free summands (without x)
from left part to right part, we given:
$$3 x = 25 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 25$$
Divide both parts of the equation by 5
x = 25 / (5)

We get the answer: x = 5
The graph
Rapid solution [src]
x1 = 5
$$x_{1} = 5$$
x1 = 5
Sum and product of roots [src]
sum
5
$$5$$
=
5
$$5$$
product
5
$$5$$
=
5
$$5$$
5
Numerical answer [src]
x1 = 5.0
x1 = 5.0