Solve 5.3x+2-4.1x=3.6x-1.6

$$5.3 x + 2 - 4.1 x = 3.6 x - 1.6$$

Solve for x

$$x=1.5$$

Steps for Solving Linear Equation

Combine 5.3x and -4.1x to get 1.2x.

$$1.2x+2=3.6x-1.6$$

Subtract 3.6x from both sides.

$$1.2x+2-3.6x=-1.6$$

Combine 1.2x and -3.6x to get -2.4x.

$$-2.4x+2=-1.6$$

Subtract 2 from both sides.

$$-2.4x=-1.6-2$$

Subtract 2 from -1.6 to get -3.6.

$$-2.4x=-3.6$$

Divide both sides by -2.4.

$$x=\frac{-3.6}{-2.4}$$

Expand \frac{-3.6}{-2.4} by multiplying both numerator and the denominator by 10.

$$x=\frac{-36}{-24}$$

Reduce the fraction \frac{-36}{-24} to lowest terms by extracting and canceling out -12.

$$x=\frac{3}{2}$$