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6(x-3)/4=3(x+8)/13
We simplify the equation to the form, which is simple to understand
6(x-3)/4=3(x+8)/13
Reorder the terms in parentheses
+(+6x-18)/4=3*(x+8)/13
Reorder the terms in parentheses
+(+1.5x-4.5)=3*(x+8)/13
Remove unnecessary parentheses
+1.5x-4.5=+3+*(+x+8+)+/13
Reorder the terms in parentheses
+1.5x-4.5=+(+3x+24)/13
Reorder the terms in parentheses
+1.5x-4.5=+( + 0.230769230769x+1.84615384615)
Remove unnecessary parentheses
+1.5x-4.5=0.230769230769x+1.84615384615
We move all terms containing x to the left and all other terms to the right.
+1.5x-0.230769230769x=+1.84615384615+4.5
We simplify left and right side of the equation.
+1.26923076923x=+6.34615384615
We divide both sides of the equation by 1.26923076923 to get x.
x=5
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