6(x+4)=7(3x-2) equation
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The solution
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
$$x_{1} = \frac{38}{15}$$
Sum and product of roots
[src]
$$\frac{38}{15}$$
$$\frac{38}{15}$$
$$\frac{38}{15}$$
$$\frac{38}{15}$$