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16+6x=5(1-2x)-13

16+6x=5(1-2x)-13 equation

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Numerical solution:

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The solution

You have entered [src]
16 + 6*x = 5*(1 - 2*x) - 13
6x+16=5(2x+1)136 x + 16 = 5 \cdot \left(- 2 x + 1\right) - 13
Detail solution
Given the linear equation:
16+6*x = 5*(1-2*x)-13

Expand brackets in the right part
16+6*x = 5*1-5*2*x-13

Looking for similar summands in the right part:
16 + 6*x = -8 - 10*x

Move free summands (without x)
from left part to right part, we given:
6x=10x246 x = - 10 x - 24
Move the summands with the unknown x
from the right part to the left part:
16x=2416 x = -24
Divide both parts of the equation by 16
x = -24 / (16)

We get the answer: x = -3/2
The graph
02468-10-8-6-4-2-200200
Rapid solution [src]
x_1 = -3/2
x1=32x_{1} = - \frac{3}{2}
Sum and product of roots [src]
sum
-3/2
(32)\left(- \frac{3}{2}\right)
=
-3/2
32- \frac{3}{2}
product
-3/2
(32)\left(- \frac{3}{2}\right)
=
-3/2
32- \frac{3}{2}
Numerical answer [src]
x1 = -1.5
x1 = -1.5
The graph
16+6x=5(1-2x)-13 equation