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3(5-x)+13=4(3x-8)

3(5-x)+13=4(3x-8) equation

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Numerical solution:

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The solution

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3*(5 - x) + 13 = 4*(3*x - 8)
$$3 \left(5 - x\right) + 13 = 4 \left(3 x - 8\right)$$
Detail solution
Given the linear equation:
3*(5-x)+13 = 4*(3*x-8)

Expand brackets in the left part
3*5-3*x+13 = 4*(3*x-8)

Expand brackets in the right part
3*5-3*x+13 = 4*3*x-4*8

Looking for similar summands in the left part:
28 - 3*x = 4*3*x-4*8

Move free summands (without x)
from left part to right part, we given:
$$- 3 x = 12 x - 60$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-15\right) x = -60$$
Divide both parts of the equation by -15
x = -60 / (-15)

We get the answer: x = 4
The graph
Sum and product of roots [src]
sum
4
$$4$$
=
4
$$4$$
product
4
$$4$$
=
4
$$4$$
4
Rapid solution [src]
x1 = 4
$$x_{1} = 4$$
x1 = 4
Numerical answer [src]
x1 = 4.0
x1 = 4.0
The graph
3(5-x)+13=4(3x-8) equation