Solve 0.8left(3-xright)-1*2left(x+3.2right)=4

$$0.8 \left( 3-x \right) -1 \cdot 2 \left( x+3.2 \right) = 4$$

Solve for x

$$x = -\frac{20}{7} = -2\frac{6}{7} \approx -2.857142857$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.8 by 3-x.

$$2.4-0.8x-1\times 2\left(x+3.2\right)=4$$

Multiply 1 and 2 to get 2.

$$2.4-0.8x-2\left(x+3.2\right)=4$$

Use the distributive property to multiply -2 by x+3.2.

$$2.4-0.8x-2x-6.4=4$$

Combine -0.8x and -2x to get -2.8x.

$$2.4-2.8x-6.4=4$$

Subtract 6.4 from 2.4 to get -4.

$$-4-2.8x=4$$

Add 4 to both sides.

$$-2.8x=4+4$$

Add 4 and 4 to get 8.

$$-2.8x=8$$

Divide both sides by -2.8.

$$x=\frac{8}{-2.8}$$

Expand \frac{8}{-2.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{80}{-28}$$

Reduce the fraction \frac{80}{-28} to lowest terms by extracting and canceling out 4.

$$x=-\frac{20}{7}$$