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5(6x-3)-3(3x-8)=5(4x+5)-22
We simplify the equation to the form, which is simple to understand
5(6x-3)-3(3x-8)=5(4x+5)-22
Reorder the terms in parentheses
+(+30x-15)-3*(3x-8)=5*(4x+5)-22
Remove unnecessary parentheses
+30x-15-3+*(+3x-8+)=+5+*(+4x+5+)-22
Reorder the terms in parentheses
+30x-15+(-9x+24)=5*(4x+5)-22
Remove unnecessary parentheses
+30x-15-9x+24=+5+*(+4x+5+)-22
Reorder the terms in parentheses
+30x-15-9x+24=+(+20x+25)-22
Remove unnecessary parentheses
+30x-15-9x+24=+20x+25-22
We move all terms containing x to the left and all other terms to the right.
+30x-9x-20x=+25-22+15-24
We simplify left and right side of the equation.
+1x=-6
We divide both sides of the equation by 1 to get x.
x=-6
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