Solve +7/2=3/2x-14

$$+ \frac { 7 } { 2 } = \frac { 3 } { 2 } x - 14$$

Solve for x

$$x = \frac{35}{3} = 11\frac{2}{3} \approx 11.666666667$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{2}x-14=\frac{7}{2}$$

Add 14 to both sides.

$$\frac{3}{2}x=\frac{7}{2}+14$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{3}{2}x=\frac{7}{2}+\frac{28}{2}$$

Since \frac{7}{2} and \frac{28}{2} have the same denominator, add them by adding their numerators.

$$\frac{3}{2}x=\frac{7+28}{2}$$

Add 7 and 28 to get 35.

$$\frac{3}{2}x=\frac{35}{2}$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=\frac{35}{2}\times \frac{2}{3}$$

Multiply \frac{35}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{35\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$x=\frac{35}{3}$$