Solve 2x+4-x/2=3x-8(x-2)/4

$$2x+ \frac{ 4-x }{ 2 } =3x- \frac{ 8(x-2) }{ 4 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$8x+2\left(4-x\right)=12x-8\left(x-2\right)$$

Use the distributive property to multiply 2 by 4-x.

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

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

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

Use the distributive property to multiply -8 by x-2.

$$6x+8=12x-8x+16$$

Combine 12x and -8x to get 4x.

$$6x+8=4x+16$$

Subtract 4x from both sides.

$$6x+8-4x=16$$

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

$$2x+8=16$$

Subtract 8 from both sides.

$$2x=16-8$$

Subtract 8 from 16 to get 8.

$$2x=8$$

Divide both sides by 2.

$$x=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$x=4$$