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5-2(x-7)=5x-(2x-4)

5-2(x-7)=5x-(2x-4) equation

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Numerical solution:

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The solution

You have entered [src]
5 - 2*(x - 7) = 5*x + -2*x + 4
$$5 - 2 \left(x - 7\right) = 5 x + \left(4 - 2 x\right)$$
Detail solution
Given the linear equation:
5-2*(x-7) = 5*x-(2*x-4)

Expand brackets in the left part
5-2*x+2*7 = 5*x-(2*x-4)

Expand brackets in the right part
5-2*x+2*7 = 5*x-2*x+4

Looking for similar summands in the left part:
19 - 2*x = 5*x-2*x+4

Looking for similar summands in the right part:
19 - 2*x = 4 + 3*x

Move free summands (without x)
from left part to right part, we given:
$$- 2 x = 3 x - 15$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-5\right) x = -15$$
Divide both parts of the equation by -5
x = -15 / (-5)

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
The graph
5-2(x-7)=5x-(2x-4) equation