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Inequalities Calculator

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1

Solved example of inequalities

$4\left(x+2\right)-3\left(x-5\right)<-x+13$
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 $15$

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

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

$23+x<-x+13$
6

Grouping terms

$23+x-\left(-1\right)x<13$
7

Multiply $-1$ times $-1$

$23+x+x<13$
8

Combining like terms $x$ and $x$

$23+2x<13$
9

Moving the term $23$ to the other side of the inequation with opposite sign

$2x<13-23$
10

Subtract the values $13$ and $-23$

$2x<-10$
11

Divide both sides of the inequation by $2$

$x<-\frac{10}{2}$
12

Divide $-10$ by $2$

$x<-5$

Final Answer

$x<-5$

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