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3(x+1)/5 - 2(2x-5)/11 = 3(x-11)/4
We simplify the equation to the form, which is simple to understand
3(x+1)/5-2(2x-5)/11=3(x-11)/4
Reorder the terms in parentheses
+(+3x+3)/5-2*(2x-5)/11=3*(x-11)/4
Reorder the terms in parentheses
+( + 0.6x + 0.6)-2*(2x-5)/11=3*(x-11)/4
Remove unnecessary parentheses
+ 0.6x + 0.6-2+*(+2x-5+)+/11=+3+*(+x-11+)+/4
Reorder the terms in parentheses
+ 0.6x + 0.6+(-4x+10)/11=3*(x-11)/4
Reorder the terms in parentheses
+ 0.6x + 0.6+(-0.363636363636x + 0.909090909091)=3*(x-11)/4
Remove unnecessary parentheses
+ 0.6x + 0.6-0.363636363636x + 0.909090909091=+3+*(+x-11+)+/4
Reorder the terms in parentheses
+ 0.6x + 0.6-0.363636363636x + 0.909090909091=+(+3x-33)/4
Reorder the terms in parentheses
+ 0.6x + 0.6-0.363636363636x + 0.909090909091=+( + 0.75x-8.25)
Remove unnecessary parentheses
+ 0.6x + 0.6-0.363636363636x + 0.909090909091=0.75x-8.25
We move all terms containing x to the left and all other terms to the right.
+ 0.6x-0.363636363636x-0.75x=-8.25-0.6-0.909090909091
We simplify left and right side of the equation.
-0.513636363636x=-9.75909090909
We divide both sides of the equation by -0.513636363636 to get x.
x=19
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