Solve 0.4x-2.1-5.3x-6.2+3.5x-0.9=2

$$0.4x-2.1-5.3x-6.2+3.5x-0.9 = 2$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Combine 0.4x and -5.3x to get -4.9x.

$$-4.9x-2.1-6.2+3.5x-0.9=2$$

Subtract 6.2 from -2.1 to get -8.3.

$$-4.9x-8.3+3.5x-0.9=2$$

Combine -4.9x and 3.5x to get -1.4x.

$$-1.4x-8.3-0.9=2$$

Subtract 0.9 from -8.3 to get -9.2.

$$-1.4x-9.2=2$$

Add 9.2 to both sides.

$$-1.4x=2+9.2$$

Add 2 and 9.2 to get 11.2.

$$-1.4x=11.2$$

Divide both sides by -1.4.

$$x=\frac{11.2}{-1.4}$$

Expand \frac{11.2}{-1.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{112}{-14}$$

Divide 112 by -14 to get -8.

$$x=-8$$