Solve 3x^2+35x+27=83x+3x^2+9

$$3 x ^ { 2 } + 35 x + 27 = 83 x + 3 x ^ { 2 } + 9$$

Solve for x

$$x=\frac{3}{8}=0.375$$

Steps for Solving Linear Equation

Subtract 83x from both sides.

$$3x^{2}+35x+27-83x=3x^{2}+9$$

Combine 35x and -83x to get -48x.

$$3x^{2}-48x+27=3x^{2}+9$$

Subtract 3x^{2} from both sides.

$$3x^{2}-48x+27-3x^{2}=9$$

Combine 3x^{2} and -3x^{2} to get 0.

$$-48x+27=9$$

Subtract 27 from both sides.

$$-48x=9-27$$

Subtract 27 from 9 to get -18.

$$-48x=-18$$

Divide both sides by -48.

$$x=\frac{-18}{-48}$$

Reduce the fraction \frac{-18}{-48} to lowest terms by extracting and canceling out -6.

$$x=\frac{3}{8}$$