(3x+1)/7-(7-2x)/3=3*(4-6x)/2+12

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Solution for (3x+1)/7-(7-2x)/3=3*(4-6x)/2+12 equation:


(3x+1)/7-(7-2x)/3=3*(4-6x)/2+12

We simplify the equation to the form, which is simple to understand 
(3x+1)/7-(7-2x)/3=3*(4-6x)/2+12

Reorder the terms in parentheses
( + 0.42857142857143x + 0.14285714285714)-(7-2x)/3=3*(4-6x)/2+12

Remove unnecessary parentheses
 + 0.42857142857143x + 0.14285714285714-(7-2x)/3=3*(4-6x)/2+12

Reorder the terms in parentheses
 + 0.42857142857143x + 0.14285714285714-(+2.3333333333333-0.66666666666667x)=3*(4-6x)/2+12

Remove unnecessary parentheses
 + 0.42857142857143x + 0.14285714285714-2.3333333333333 + 0.66666666666667x=3*(4-6x)/2+12

Reorder the terms in parentheses
 + 0.42857142857143x + 0.14285714285714-2.3333333333333 + 0.66666666666667x=+(+12-18x)/2+12

Reorder the terms in parentheses
 + 0.42857142857143x + 0.14285714285714-2.3333333333333 + 0.66666666666667x=+(+6-9x)+12

Remove unnecessary parentheses
 + 0.42857142857143x + 0.14285714285714-2.3333333333333 + 0.66666666666667x=+6-9x+12

We move all terms containing x to the left and all other terms to the right. 
 + 0.42857142857143x + 0.66666666666667x+9x=+6+12-0.14285714285714+2.3333333333333

We simplify left and right side of the equation. 
+10.095238095238x=+20.190476190476

We divide both sides of the equation by 10.095238095238 to get x. 
x=2

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