3(4x+9)=7(2-5x)-2

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Solution for 3(4x+9)=7(2-5x)-2 equation: 



3(4x+9)=7(2-5x)-2

We move all terms to the left:

3(4x+9)-(7(2-5x)-2)=0

We add all the numbers together, and all the variables

3(4x+9)-(7(-5x+2)-2)=0

We multiply parentheses

12x-(7(-5x+2)-2)+27=0



We calculate terms in parentheses: -(7(-5x+2)-2), so:

7(-5x+2)-2

We multiply parentheses

-35x+14-2

We add all the numbers together, and all the variables

-35x+12

Back to the equation:

-(-35x+12)



We get rid of parentheses

12x+35x-12+27=0

We add all the numbers together, and all the variables

47x+15=0

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

47x=-15

x=-15/47

x=-15/47

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