Solve 2.22x+6.3=0.58x-2.1

$$2.22 x + 6.3 = 0.58 x - 2.1$$

Solve for x

$$x = -\frac{210}{41} = -5\frac{5}{41} \approx -5.12195122$$

Steps for Solving Linear Equation

Subtract 0.58x from both sides.

$$2.22x+6.3-0.58x=-2.1$$

Combine 2.22x and -0.58x to get 1.64x.

$$1.64x+6.3=-2.1$$

Subtract 6.3 from both sides.

$$1.64x=-2.1-6.3$$

Subtract 6.3 from -2.1 to get -8.4.

$$1.64x=-8.4$$

Divide both sides by 1.64.

$$x=\frac{-8.4}{1.64}$$

Expand \frac{-8.4}{1.64} by multiplying both numerator and the denominator by 100.

$$x=\frac{-840}{164}$$

Reduce the fraction \frac{-840}{164} to lowest terms by extracting and canceling out 4.

$$x=-\frac{210}{41}$$