4*(7-2x)-7>-26-105 inequation

Given the inequality:
$$4 \left(7 - 2 x\right) - 7 > -131$$
To solve this inequality, we must first solve the corresponding equation:
$$4 \left(7 - 2 x\right) - 7 = -131$$
Solve:
Given the linear equation:

4*(7-2*x)-7 = -26-105

Expand brackets in the left part

4*7-4*2*x-7 = -26-105

Looking for similar summands in the left part:

21 - 8*x = -26-105

Looking for similar summands in the right part:

21 - 8*x = -131

Move free summands (without x)
from left part to right part, we given:
$$- 8 x = -152$$
Divide both parts of the equation by -8

x = -152 / (-8)

$$x_{1} = 19$$
$$x_{1} = 19$$
This roots
$$x_{1} = 19$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{1}{10} + 19$$
=
$$\frac{189}{10}$$
substitute to the expression
$$4 \left(7 - 2 x\right) - 7 > -131$$
$$4 \left(7 - \frac{2 \cdot 189}{10}\right) - 7 > -131$$

-651/5 > -131

the solution of our inequality is:
$$x < 19$$

 _____          
      \    
-------ο-------
       x1