Solve for w 5(w+1)-7=3(w-1)+2w

Math
5(w+1)-7=3(w-1)+2w
Since w is on the right side of the equation, switch the sides so it is on the left side of the equation.
3(w-1)+2w=5(w+1)-7
Simplify 3(w-1)+2w.
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Simplify each term.
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Apply the distributive property.
3w+3⋅-1+2w=5(w+1)-7
Multiply 3 by -1.
3w-3+2w=5(w+1)-7
3w-3+2w=5(w+1)-7
Add 3w and 2w.
5w-3=5(w+1)-7
5w-3=5(w+1)-7
Simplify 5(w+1)-7.
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Simplify each term.
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Apply the distributive property.
5w-3=5w+5⋅1-7
Multiply 5 by 1.
5w-3=5w+5-7
5w-3=5w+5-7
Subtract 7 from 5.
5w-3=5w-2
5w-3=5w-2
Move all terms containing w to the left side of the equation.
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Subtract 5w from both sides of the equation.
5w-3-5w=-2
Combine the opposite terms in 5w-3-5w.
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Subtract 5w from 5w.
0-3=-2
Subtract 3 from 0.
-3=-2
-3=-2
-3=-2
Since -3≠-2, there are no solutions.
No solution
Solve for w 5(w+1)-7=3(w-1)+2w

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