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

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

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$6\left(x-2\right)-2x=8\left(x+3\right)$$

Use the distributive property to multiply 6 by x-2.

$$6x-12-2x=8\left(x+3\right)$$

Combine 6x and -2x to get 4x.

$$4x-12=8\left(x+3\right)$$

Use the distributive property to multiply 8 by x+3.

$$4x-12=8x+24$$

Subtract 8x from both sides.

$$4x-12-8x=24$$

Combine 4x and -8x to get -4x.

$$-4x-12=24$$

Add 12 to both sides.

$$-4x=24+12$$

Add 24 and 12 to get 36.

$$-4x=36$$

Divide both sides by -4.

$$x=\frac{36}{-4}$$

Divide 36 by -4 to get -9.

$$x=-9$$