Mister Exam

4(x-2)=-(3x-6) equation

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Numerical solution:

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The solution

You have entered [src]
4*(x - 2) = -3*x + 6
$$4 \left(x - 2\right) = 6 - 3 x$$
Detail solution
Given the linear equation:
4*(x-2) = -(3*x-6)

Expand brackets in the left part
4*x-4*2 = -(3*x-6)

Expand brackets in the right part
4*x-4*2 = -3*x+6

Move free summands (without x)
from left part to right part, we given:
$$4 x = 14 - 3 x$$
Move the summands with the unknown x
from the right part to the left part:
$$7 x = 14$$
Divide both parts of the equation by 7
x = 14 / (7)

We get the answer: x = 2
The graph
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Numerical answer [src]
x1 = 2.0
x1 = 2.0
The graph
4(x-2)=-(3x-6) equation