Mister Exam

5(x-3)=14-2(7-2x) equation

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Numerical solution:

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The solution

You have entered [src]
5*(x - 3) = 14 - 2*(7 - 2*x)
$$5 \left(x - 3\right) = 14 - 2 \left(7 - 2 x\right)$$
Detail solution
Given the linear equation:
5*(x-3) = 14-2*(7-2*x)

Expand brackets in the left part
5*x-5*3 = 14-2*(7-2*x)

Expand brackets in the right part
5*x-5*3 = 14-2*7+2*2*x

Looking for similar summands in the right part:
-15 + 5*x = 4*x

Move free summands (without x)
from left part to right part, we given:
$$5 x = 4 x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$x = 15$$
We get the answer: x = 15
The graph
Rapid solution [src]
x1 = 15
$$x_{1} = 15$$
x1 = 15
Sum and product of roots [src]
sum
15
$$15$$
=
15
$$15$$
product
15
$$15$$
=
15
$$15$$
15
Numerical answer [src]
x1 = 15.0
x1 = 15.0
The graph
5(x-3)=14-2(7-2x) equation