Solve the inequality 3+2(x+1)+2x<-3(1-1x)

2x+3+2\left(x+1\right)<-3\left(1-x\right)

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Answer

$x<-\frac{8}{3}$

Step by step solution

Problem

$2x+3+2\left(x+1\right)<-3\left(1-x\right)$
1

Multiply $\left(x+1\right)$ by $2$

$3+2x+2+2x<3x-3$
2

Add the values $2$ and $3$

$2x+2x+5<3x-3$
3

Adding $22x$ and $2x$

$5+3\cdot 2x<3x-3$
4

Multiply $2$ times $3$

$5+6x<3x-3$
5

Grouping terms

$-3x+5+6x<-3$
6

Adding $6x$ and $-3x$

$5+3x<-3$
7

Moving the term $5$ to the other side of the inequation with opposite sign

$3x<-3-5$
8

Subtract the values $-3$ and $-5$

$3x<-8$
9

Divide both sides of the inequation by $3$

$x<-\frac{8}{3}$

Answer

$x<-\frac{8}{3}$

Problem Analysis

Main topic:

Polynomials

Time to solve it:

0.23 seconds

Views:

85