Solve 2x+3=7/2x-4

$$2 x + 3 = \frac { 7 } { 2 } x - 4$$

Solve for x

$$x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Steps for Solving Linear Equation

Subtract \frac{7}{2}x from both sides.

$$2x+3-\frac{7}{2}x=-4$$

Combine 2x and -\frac{7}{2}x to get -\frac{3}{2}x.

$$-\frac{3}{2}x+3=-4$$

Subtract 3 from both sides.

$$-\frac{3}{2}x=-4-3$$

Subtract 3 from -4 to get -7.

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

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

$$x=-7\left(-\frac{2}{3}\right)$$

Express -7\left(-\frac{2}{3}\right) as a single fraction.

$$x=\frac{-7\left(-2\right)}{3}$$

Multiply -7 and -2 to get 14.

$$x=\frac{14}{3}$$