Solve 2(3x-1)-5x=5-(3x+1i

$$2 ( 3 x - 1 ) - 5 x = 5 - ( 3 x + 1 i$$

Solve for x

$$x=\frac{7}{4}-\frac{1}{4}i=1.75-0.25i$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x-1.

$$6x-2-5x=5-\left(3x+i\right)$$

Combine 6x and -5x to get x.

$$x-2=5-\left(3x+i\right)$$

To find the opposite of 3x+i, find the opposite of each term.

$$x-2=5-3x-i$$

Add 3x to both sides.

$$x-2+3x=5-i$$

Combine x and 3x to get 4x.

$$4x-2=5-i$$

Add 2 to both sides.

$$4x=5-i+2$$

Combine the real and imaginary parts in numbers 5-i and 2.

$$4x=5+2-i$$

Add 5 to 2.

$$4x=7-i$$

Divide both sides by 4.

$$x=\frac{7-i}{4}$$

Divide 7-i by 4 to get \frac{7}{4}-\frac{1}{4}i.

$$x=\frac{7}{4}-\frac{1}{4}i$$