2(x+1)=5(4-x)+3

Solution for 2(x+1)=5(4-x)+3 equation:

2(x+1)=5(4-x)+3

We move all terms to the left:

2(x+1)-(5(4-x)+3)=0

We add all the numbers together, and all the variables

2(x+1)-(5(-1x+4)+3)=0

We multiply parentheses

2x-(5(-1x+4)+3)+2=0


We calculate terms in parentheses: -(5(-1x+4)+3), so:

5(-1x+4)+3

We multiply parentheses

-5x+20+3

We add all the numbers together, and all the variables

-5x+23

Back to the equation:

-(-5x+23)


We get rid of parentheses

2x+5x-23+2=0

We add all the numbers together, and all the variables

7x-21=0

We move all terms containing x to the left, all other terms to the right

7x=21

x=21/7

x=3