Solve for v (3v+2)-(v+1)=v+(2v+3)

(3v+2)-(v+1)=v+(2v+3)

Simplify (3v+2)-(v+1).

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Simplify each term.

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Apply the distributive property.

3v+2-v-1⋅1=v+2v+3

Multiply -1 by 1.

3v+2-v-1=v+2v+3

Simplify by adding terms.

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Subtract v from 3v.

2v+2-1=v+2v+3

Subtract 1 from 2.

2v+1=v+2v+3

Add v and 2v.

2v+1=3v+3

Move all terms containing v to the left side of the equation.

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Subtract 3v from both sides of the equation.

2v+1-3v=3

Subtract 3v from 2v.

-v+1=3

Move all terms not containing v to the right side of the equation.

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Subtract 1 from both sides of the equation.

-v=3-1

Subtract 1 from 3.

-v=2

Multiply each term in -v=2 by -1

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Multiply each term in -v=2 by -1.

(-v)⋅-1=2⋅-1

Multiply (-v)⋅-1.

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Multiply -1 by -1.

1v=2⋅-1

Multiply v by 1.

v=2⋅-1

Multiply 2 by -1.

v=-2

Solve for v (3v+2)-(v+1)=v+(2v+3)