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

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Numerical solution:

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The solution

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

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

Looking for similar summands in the left part:
-9 - 32*x = 7

Move free summands (without x)
from left part to right part, we given:
$$- 32 x = 16$$
Divide both parts of the equation by -32
x = 16 / (-32)

We get the answer: x = -1/2
The graph
Rapid solution [src]
x1 = -1/2
$$x_{1} = - \frac{1}{2}$$
x1 = -1/2
Sum and product of roots [src]
sum
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
product
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
-1/2
Numerical answer [src]
x1 = -0.5
x1 = -0.5