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5(3x+2)-2x=15x-2(x-5)
We simplify the equation to the form, which is simple to understand
5(3x+2)-2x=15x-2(x-5)
Reorder the terms in parentheses
+(+15x+10)-2x=15x-2*(x-5)
Remove unnecessary parentheses
+15x+10-2x=+15x-2+*(+x-5+)
Reorder the terms in parentheses
+15x+10-2x=15x+(-2x+10)
Remove unnecessary parentheses
+15x+10-2x=+15x-2x+10
We move all terms containing x to the left and all other terms to the right.
+15x-2x-15x+2x=+10-10
We simplify left and right side of the equation.
0x=0
0=0
This equation is an identity, so all real numbers are solutions.
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