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

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

Solve for v

$$v = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2v-1.

$$3+v=4v-2$$

Subtract 4v from both sides.

$$3+v-4v=-2$$

Combine v and -4v to get -3v.

$$3-3v=-2$$

Subtract 3 from both sides.

$$-3v=-2-3$$

Subtract 3 from -2 to get -5.

$$-3v=-5$$

Divide both sides by -3.

$$v=\frac{-5}{-3}$$

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

$$v=\frac{5}{3}$$