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

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

Solve for x

$$x = -\frac{34}{7} = -4\frac{6}{7} \approx -4.857142857$$

Steps for Solving Linear Equation

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

$$2.4-0.8x-1\times 2\left(x+3\times 2\right)=4$$

Multiply 1 and 2 to get 2.

$$2.4-0.8x-2\left(x+3\times 2\right)=4$$

Multiply 3 and 2 to get 6.

$$2.4-0.8x-2\left(x+6\right)=4$$

Use the distributive property to multiply -2 by x+6.

$$2.4-0.8x-2x-12=4$$

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

$$2.4-2.8x-12=4$$

Subtract 12 from 2.4 to get -9.6.

$$-9.6-2.8x=4$$

Add 9.6 to both sides.

$$-2.8x=4+9.6$$

Add 4 and 9.6 to get 13.6.

$$-2.8x=13.6$$

Divide both sides by -2.8.

$$x=\frac{13.6}{-2.8}$$

Expand \frac{13.6}{-2.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{136}{-28}$$

Reduce the fraction \frac{136}{-28} to lowest terms by extracting and canceling out 4.

$$x=-\frac{34}{7}$$