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Disuguaglianze Calculator

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1

Here, we show you a step-by-step solved example of inequalities. This solution was automatically generated by our smart calculator:

$4\left(x+2\right)-3\left(x-5\right)<-x+13$
2

Multiply the single term $4$ by each term of the polynomial $\left(x+2\right)$

$4x+8-3\left(x-5\right)<-x+13$
3

Multiply the single term $-3$ by each term of the polynomial $\left(x-5\right)$

$4x+8-3x+15<-x+13$
4

Add the values $8$ and $15$

$4x+23-3x<-x+13$
5

Combining like terms $4x$ and $-3x$

$x+23<-x+13$
6

Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

$x+x<13-23$
7

Subtract the values $13$ and $-23$

$x+x<-10$
8

Combining like terms $x$ and $x$

$2x<-10$
9

Divide both sides of the inequation by $2$

$x<-\frac{10}{2}$
10

Divide $-10$ by $2$

$x<-5$

Final answer to the problem

$x<-5$

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