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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

-4x-(5(3x+1)-2)+8=0



We calculate terms in parentheses: -(5(3x+1)-2), so:

5(3x+1)-2

We multiply parentheses

15x+5-2

We add all the numbers together, and all the variables

15x+3

Back to the equation:

-(15x+3)



We get rid of parentheses

-4x-15x-3+8=0

We add all the numbers together, and all the variables

-19x+5=0

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

-19x=-5

x=-5/-19

x=5/19

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