Solve 3+2(4+2x)+i=20-2(2-x)

$$3 + 2 ( 4 + 2 x ) + i = 20 - 2 ( 2 - x )$$

Solve for x

$$x=\frac{5}{2}-\frac{1}{2}i=2.5-0.5i$$

Steps for Solving Linear Equation

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

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

Combine the real and imaginary parts in 3+8+i.

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

Add 3 to 8.

$$4x+11+i=20-2\left(2-x\right)$$

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

$$4x+11+i=20-4+2x$$

Subtract 4 from 20 to get 16.

$$4x+11+i=16+2x$$

Subtract 2x from both sides.

$$4x+11+i-2x=16$$

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

$$2x+11+i=16$$

Subtract 11 from both sides.

$$2x+i=16-11$$

Subtract 11 from 16 to get 5.

$$2x+i=5$$

Subtract i from both sides.

$$2x=5-i$$

Divide both sides by 2.

$$x=\frac{5-i}{2}$$

Divide 5-i by 2 to get \frac{5}{2}-\frac{1}{2}i.

$$x=\frac{5}{2}-\frac{1}{2}i$$