Solve -2/3x-6=4

$$\frac { - 2 } { 3 } x - 6 = 4$$

Solve for x

$$x=-15$$

Steps for Solving Linear Equation

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{2}{3}x-6=4$$

Add 6 to both sides.

$$-\frac{2}{3}x=4+6$$

Add 4 and 6 to get 10.

$$-\frac{2}{3}x=10$$

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

$$x=10\left(-\frac{3}{2}\right)$$

Express 10\left(-\frac{3}{2}\right) as a single fraction.

$$x=\frac{10\left(-3\right)}{2}$$

Multiply 10 and -3 to get -30.

$$x=\frac{-30}{2}$$

Divide -30 by 2 to get -15.

$$x=-15$$