Solve 0.2(x-0.6)-1.4(x-2.8)=3.2(1-x)

$$0.2 ( x - 0.6 ) - 1.4 ( x - 2.8 ) = 3.2 ( 1 - x )$$

Solve for x

$$x=-0.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by x-0.6.

$$0.2x-0.12-1.4\left(x-2.8\right)=3.2\left(1-x\right)$$

Use the distributive property to multiply -1.4 by x-2.8.

$$0.2x-0.12-1.4x+3.92=3.2\left(1-x\right)$$

Combine 0.2x and -1.4x to get -1.2x.

$$-1.2x-0.12+3.92=3.2\left(1-x\right)$$

Add -0.12 and 3.92 to get 3.8.

$$-1.2x+3.8=3.2\left(1-x\right)$$

Use the distributive property to multiply 3.2 by 1-x.

$$-1.2x+3.8=3.2-3.2x$$

Add 3.2x to both sides.

$$-1.2x+3.8+3.2x=3.2$$

Combine -1.2x and 3.2x to get 2x.

$$2x+3.8=3.2$$

Subtract 3.8 from both sides.

$$2x=3.2-3.8$$

Subtract 3.8 from 3.2 to get -0.6.

$$2x=-0.6$$

Divide both sides by 2.

$$x=\frac{-0.6}{2}$$

Expand \frac{-0.6}{2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-6}{20}$$

Reduce the fraction \frac{-6}{20} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{10}$$