Solve -2/3x+5=3/2x-5

$$- \frac { 2 } { 3 } x + 5 = \frac { 3 } { 2 } x - 5$$

Solve for x

$$x = \frac{60}{13} = 4\frac{8}{13} \approx 4.615384615$$

Steps for Solving Linear Equation

Subtract \frac{3}{2}x from both sides.

$$-\frac{2}{3}x+5-\frac{3}{2}x=-5$$

Combine -\frac{2}{3}x and -\frac{3}{2}x to get -\frac{13}{6}x.

$$-\frac{13}{6}x+5=-5$$

Subtract 5 from both sides.

$$-\frac{13}{6}x=-5-5$$

Subtract 5 from -5 to get -10.

$$-\frac{13}{6}x=-10$$

Multiply both sides by -\frac{6}{13}, the reciprocal of -\frac{13}{6}.

$$x=-10\left(-\frac{6}{13}\right)$$

Express -10\left(-\frac{6}{13}\right) as a single fraction.

$$x=\frac{-10\left(-6\right)}{13}$$

Multiply -10 and -6 to get 60.

$$x=\frac{60}{13}$$