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3x+2(x+7)-5=4(x+3)-3(x-1)
We simplify the equation to the form, which is simple to understand
3x+2(x+7)-5=4(x+3)-3(x-1)
Reorder the terms in parentheses
3x+(+2x+14)-5=4*(x+3)-3*(x-1)
Remove unnecessary parentheses
+3x+2x+14-5=+4+*(+x+3+)-3+*(+x-1+)
Reorder the terms in parentheses
3x+2x+14-5=+(+4x+12)-3*(x-1)
Remove unnecessary parentheses
+3x+2x+14-5=+4x+12-3+*(+x-1+)
Reorder the terms in parentheses
3x+2x+14-5=+4x+12+(-3x+3)
Remove unnecessary parentheses
+3x+2x+14-5=+4x+12-3x+3
We move all terms containing x to the left and all other terms to the right.
+3x+2x-4x+3x=+12+3-14+5
We simplify left and right side of the equation.
+4x=+6
We divide both sides of the equation by 4 to get x.
x=1.5
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