Solve for w 4(w+3)=7w+9

Math
4(w+3)=7w+9
Simplify 4(w+3).
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Apply the distributive property.
4w+4⋅3=7w+9
Multiply 4 by 3.
4w+12=7w+9
4w+12=7w+9
Move all terms containing w to the left side of the equation.
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Subtract 7w from both sides of the equation.
4w+12-7w=9
Subtract 7w from 4w.
-3w+12=9
-3w+12=9
Move all terms not containing w to the right side of the equation.
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Subtract 12 from both sides of the equation.
-3w=9-12
Subtract 12 from 9.
-3w=-3
-3w=-3
Divide each term by -3 and simplify.
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Divide each term in -3w=-3 by -3.
-3w-3=-3-3
Cancel the common factor of -3.
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Cancel the common factor.
-3w-3=-3-3
Divide w by 1.
w=-3-3
w=-3-3
Divide -3 by -3.
w=1
w=1
Solve for w 4(w+3)=7w+9

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