Solve 1.1x-0.56=-0.25left(-0.2x+1.92right)+21x/20-0.08

$$1.1x-0.56 = -0.25 \left( -0.2x+1.92 \right) + \frac{ 21x }{ 20 } -0.08$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Solution Steps

Multiply both sides of the equation by 20.

$$22x-11.2=-5\left(-0.2x+1.92\right)+21x-1.6$$

Use the distributive property to multiply -5 by -0.2x+1.92.

$$22x-11.2=x-9.6+21x-1.6$$

Combine x and 21x to get 22x.

$$22x-11.2=22x-9.6-1.6$$

Subtract 1.6 from -9.6 to get -11.2.

$$22x-11.2=22x-11.2$$

Subtract 22x from both sides.

$$22x-11.2-22x=-11.2$$

Combine 22x and -22x to get 0.

$$-11.2=-11.2$$

Compare -11.2 and -11.2.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{C}$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Multiply both sides of the equation by 20.

$$22x-11.2=-5\left(-0.2x+1.92\right)+21x-1.6$$

Use the distributive property to multiply -5 by -0.2x+1.92.

$$22x-11.2=x-9.6+21x-1.6$$

Combine x and 21x to get 22x.

$$22x-11.2=22x-9.6-1.6$$

Subtract 1.6 from -9.6 to get -11.2.

$$22x-11.2=22x-11.2$$

Subtract 22x from both sides.

$$22x-11.2-22x=-11.2$$

Combine 22x and -22x to get 0.

$$-11.2=-11.2$$

Compare -11.2 and -11.2.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$