Solve 2x+4/4-2(x-3)=5-x/2

$$\frac { 2 x + 4 } { 4 } - 2 ( x - 3 ) = 5 - \frac { x } { 2 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$2x+4-8\left(x-3\right)=20-2x$$

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

$$2x+4-8x+24=20-2x$$

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

$$-6x+4+24=20-2x$$

Add 4 and 24 to get 28.

$$-6x+28=20-2x$$

Add 2x to both sides.

$$-6x+28+2x=20$$

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

$$-4x+28=20$$

Subtract 28 from both sides.

$$-4x=20-28$$

Subtract 28 from 20 to get -8.

$$-4x=-8$$

Divide both sides by -4.

$$x=\frac{-8}{-4}$$

Divide -8 by -4 to get 2.

$$x=2$$