Mister Exam

6(x+4)=7(3x-2) equation

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Numerical solution:

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The solution

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6*(x + 4) = 7*(3*x - 2)
$$6 \left(x + 4\right) = 7 \left(3 x - 2\right)$$
Detail solution
Given the linear equation:
6*(x+4) = 7*(3*x-2)

Expand brackets in the left part
6*x+6*4 = 7*(3*x-2)

Expand brackets in the right part
6*x+6*4 = 7*3*x-7*2

Move free summands (without x)
from left part to right part, we given:
$$6 x = 21 x - 38$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-15\right) x = -38$$
Divide both parts of the equation by -15
x = -38 / (-15)

We get the answer: x = 38/15
The graph
Rapid solution [src]
     38
x1 = --
     15
$$x_{1} = \frac{38}{15}$$
x1 = 38/15
Sum and product of roots [src]
sum
38
--
15
$$\frac{38}{15}$$
=
38
--
15
$$\frac{38}{15}$$
product
38
--
15
$$\frac{38}{15}$$
=
38
--
15
$$\frac{38}{15}$$
38/15
Numerical answer [src]
x1 = 2.53333333333333
x1 = 2.53333333333333