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9(2-4x)=7(9-8x) equation

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Numerical solution:

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The solution

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9*(2 - 4*x) = 7*(9 - 8*x)
$$9 \left(2 - 4 x\right) = 7 \left(9 - 8 x\right)$$
Detail solution
Given the linear equation:
9*(2-4*x) = 7*(9-8*x)

Expand brackets in the left part
9*2-9*4*x = 7*(9-8*x)

Expand brackets in the right part
9*2-9*4*x = 7*9-7*8*x

Move free summands (without x)
from left part to right part, we given:
$$- 36 x = 45 - 56 x$$
Move the summands with the unknown x
from the right part to the left part:
$$20 x = 45$$
Divide both parts of the equation by 20
x = 45 / (20)

We get the answer: x = 9/4
The graph
Rapid solution [src]
x1 = 9/4
$$x_{1} = \frac{9}{4}$$
x1 = 9/4
Sum and product of roots [src]
sum
9/4
$$\frac{9}{4}$$
=
9/4
$$\frac{9}{4}$$
product
9/4
$$\frac{9}{4}$$
=
9/4
$$\frac{9}{4}$$
9/4
Numerical answer [src]
x1 = 2.25
x1 = 2.25