Solve 2*(x/2-3)=4x/3

$$2 \cdot ( \frac { x } { 2 } - 3 ) = \frac { 4 x } { 3 }$$

Solve for x

$$x=-18$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$12\left(\frac{x}{2}-3\right)=2\times 4x$$

Use the distributive property to multiply 12 by \frac{x}{2}-3.

$$12\times \frac{x}{2}-36=2\times 4x$$

Cancel out 2, the greatest common factor in 12 and 2.

$$6x-36=2\times 4x$$

Multiply 2 and 4 to get 8.

$$6x-36=8x$$

Subtract 8x from both sides.

$$6x-36-8x=0$$

Combine 6x and -8x to get -2x.

$$-2x-36=0$$

Add 36 to both sides. Anything plus zero gives itself.

$$-2x=36$$

Divide both sides by -2.

$$x=\frac{36}{-2}$$

Divide 36 by -2 to get -18.

$$x=-18$$