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8(5-3x)=6(2•4x)+7 equation

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Numerical solution:

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The solution

You have entered [src]
8*(5 - 3*x) = 6*8*x + 7
$$8 \left(5 - 3 x\right) = 6 \cdot 8 x + 7$$
Detail solution
Given the linear equation:
8*(5-3*x) = 6*(2*4*x)+7

Expand brackets in the left part
8*5-8*3*x = 6*(2*4*x)+7

Expand brackets in the right part
8*5-8*3*x = 6*2*4*x+7

Move free summands (without x)
from left part to right part, we given:
$$- 24 x = 48 x - 33$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-72\right) x = -33$$
Divide both parts of the equation by -72
x = -33 / (-72)

We get the answer: x = 11/24
The graph
Rapid solution [src]
     11
x1 = --
     24
$$x_{1} = \frac{11}{24}$$
x1 = 11/24
Sum and product of roots [src]
sum
11
--
24
$$\frac{11}{24}$$
=
11
--
24
$$\frac{11}{24}$$
product
11
--
24
$$\frac{11}{24}$$
=
11
--
24
$$\frac{11}{24}$$
11/24
Numerical answer [src]
x1 = 0.458333333333333
x1 = 0.458333333333333