5(x+3)=6(8-x)-22

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Solution for 5(x+3)=6(8-x)-22 equation: 



5(x+3)=6(8-x)-22

We move all terms to the left:

5(x+3)-(6(8-x)-22)=0

We add all the numbers together, and all the variables

5(x+3)-(6(-1x+8)-22)=0

We multiply parentheses

5x-(6(-1x+8)-22)+15=0



We calculate terms in parentheses: -(6(-1x+8)-22), so:

6(-1x+8)-22

We multiply parentheses

-6x+48-22

We add all the numbers together, and all the variables

-6x+26

Back to the equation:

-(-6x+26)



We get rid of parentheses

5x+6x-26+15=0

We add all the numbers together, and all the variables

11x-11=0

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

11x=11

x=11/11

x=1

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