Solve -9.6-x+2=2left(0.4x-1.8right)

$$-9.6-x+2 = 2 \left( 0.4x-1.8 \right)$$

Solve for x

$$x = -\frac{20}{9} = -2\frac{2}{9} \approx -2.222222222$$

Steps for Solving Linear Equation

Add -9.6 and 2 to get -7.6.

$$-7.6-x=2\left(0.4x-1.8\right)$$

Use the distributive property to multiply 2 by 0.4x-1.8.

$$-7.6-x=0.8x-3.6$$

Subtract 0.8x from both sides.

$$-7.6-x-0.8x=-3.6$$

Combine -x and -0.8x to get -1.8x.

$$-7.6-1.8x=-3.6$$

Add 7.6 to both sides.

$$-1.8x=-3.6+7.6$$

Add -3.6 and 7.6 to get 4.

$$-1.8x=4$$

Divide both sides by -1.8.

$$x=\frac{4}{-1.8}$$

Expand \frac{4}{-1.8} by multiplying both numerator and the denominator by 10.

$$x=\frac{40}{-18}$$

Reduce the fraction \frac{40}{-18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{20}{9}$$