Solve 0.1x-0.5left(x-2right)=2

$$0.1x-0.5 \left( x-2 \right) = 2$$

Solve for x

$$x=-2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -0.5 by x-2.

$$0.1x-0.5x+1=2$$

Combine 0.1x and -0.5x to get -0.4x.

$$-0.4x+1=2$$

Subtract 1 from both sides.

$$-0.4x=2-1$$

Subtract 1 from 2 to get 1.

$$-0.4x=1$$

Divide both sides by -0.4.

$$x=\frac{1}{-0.4}$$

Expand \frac{1}{-0.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{10}{-4}$$

Reduce the fraction \frac{10}{-4} to lowest terms by extracting and canceling out 2.

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