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5x-7(x-3)=4x+3 equation

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Numerical solution:

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The solution

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5*x - 7*(x - 3) = 4*x + 3
$$5 x - 7 \left(x - 3\right) = 4 x + 3$$
Detail solution
Given the linear equation:
5*x-7*(x-3) = 4*x+3

Expand brackets in the left part
5*x-7*x+7*3 = 4*x+3

Looking for similar summands in the left part:
21 - 2*x = 4*x+3

Move free summands (without x)
from left part to right part, we given:
$$- 2 x = 4 x - 18$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-6\right) x = -18$$
Divide both parts of the equation by -6
x = -18 / (-6)

We get the answer: x = 3
The graph
Rapid solution [src]
x1 = 3
$$x_{1} = 3$$
x1 = 3
Sum and product of roots [src]
sum
3
$$3$$
=
3
$$3$$
product
3
$$3$$
=
3
$$3$$
3
Numerical answer [src]
x1 = 3.0
x1 = 3.0