Solve -7/2v-5=7/3v+5/2

$$- \frac { 7 } { 2 } v - 5 = \frac { 7 } { 3 } v + \frac { 5 } { 2 }$$

Solve for v

$$v = -\frac{9}{7} = -1\frac{2}{7} \approx -1.285714286$$

Steps for Solving Linear Equation

Subtract \frac{7}{3}v from both sides.

$$-\frac{7}{2}v-5-\frac{7}{3}v=\frac{5}{2}$$

Combine -\frac{7}{2}v and -\frac{7}{3}v to get -\frac{35}{6}v.

$$-\frac{35}{6}v-5=\frac{5}{2}$$

Add 5 to both sides.

$$-\frac{35}{6}v=\frac{5}{2}+5$$

Convert 5 to fraction \frac{10}{2}.

$$-\frac{35}{6}v=\frac{5}{2}+\frac{10}{2}$$

Since \frac{5}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$-\frac{35}{6}v=\frac{5+10}{2}$$

Add 5 and 10 to get 15.

$$-\frac{35}{6}v=\frac{15}{2}$$

Multiply both sides by -\frac{6}{35}, the reciprocal of -\frac{35}{6}.

$$v=\frac{15}{2}\left(-\frac{6}{35}\right)$$

Multiply \frac{15}{2} times -\frac{6}{35} by multiplying numerator times numerator and denominator times denominator.

$$v=\frac{15\left(-6\right)}{2\times 35}$$

Do the multiplications in the fraction \frac{15\left(-6\right)}{2\times 35}.

$$v=\frac{-90}{70}$$

Reduce the fraction \frac{-90}{70} to lowest terms by extracting and canceling out 10.

$$v=-\frac{9}{7}$$