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2/7x+4=3/5x-7

2/7x+4=3/5x-7 equation

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Numerical solution:

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The solution

You have entered [src]
2*x       3*x    
--- + 4 = --- - 7
 7         5     
$$\frac{2 x}{7} + 4 = \frac{3 x}{5} - 7$$
Detail solution
Given the linear equation:
2/7*x+4 = 3/5*x-7

Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{7} = \frac{3 x}{5} - 11$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-11\right) x}{35} = -11$$
Divide both parts of the equation by -11/35
x = -11 / (-11/35)

We get the answer: x = 35
The graph
Rapid solution [src]
x1 = 35
$$x_{1} = 35$$
x1 = 35
Sum and product of roots [src]
sum
35
$$35$$
=
35
$$35$$
product
35
$$35$$
=
35
$$35$$
35
Numerical answer [src]
x1 = 35.0
x1 = 35.0
The graph
2/7x+4=3/5x-7 equation