Solve for w 2(w+2)-w=3(w-1)+9

Math
2(w+2)-w=3(w-1)+9
Simplify 2(w+2)-w.
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Simplify each term.
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Apply the distributive property.
2w+2⋅2-w=3(w-1)+9
Multiply 2 by 2.
2w+4-w=3(w-1)+9
2w+4-w=3(w-1)+9
Subtract w from 2w.
w+4=3(w-1)+9
w+4=3(w-1)+9
Simplify 3(w-1)+9.
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Simplify each term.
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Apply the distributive property.
w+4=3w+3⋅-1+9
Multiply 3 by -1.
w+4=3w-3+9
w+4=3w-3+9
Add -3 and 9.
w+4=3w+6
w+4=3w+6
Move all terms containing w to the left side of the equation.
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Subtract 3w from both sides of the equation.
w+4-3w=6
Subtract 3w from w.
-2w+4=6
-2w+4=6
Move all terms not containing w to the right side of the equation.
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Subtract 4 from both sides of the equation.
-2w=6-4
Subtract 4 from 6.
-2w=2
-2w=2
Divide each term by -2 and simplify.
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Divide each term in -2w=2 by -2.
-2w-2=2-2
Cancel the common factor of -2.
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Cancel the common factor.
-2w-2=2-2
Divide w by 1.
w=2-2
w=2-2
Divide 2 by -2.
w=-1
w=-1
Solve for w 2(w+2)-w=3(w-1)+9

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