Solve 3x+5x-3x+2/12-4=82

$$\frac { 3 x + 5 x - 3 x + 2 } { 12 - 4 } = 82$$

Solve for x

$$x = \frac{654}{5} = 130\frac{4}{5} = 130.8$$

Steps for Solving Linear Equation

Combine 3x and 5x to get 8x.

$$\frac{8x-3x+2}{12-4}=82$$

Combine 8x and -3x to get 5x.

$$\frac{5x+2}{12-4}=82$$

Subtract 4 from 12 to get 8.

$$\frac{5x+2}{8}=82$$

Divide each term of 5x+2 by 8 to get \frac{5}{8}x+\frac{1}{4}.

$$\frac{5}{8}x+\frac{1}{4}=82$$

Subtract \frac{1}{4} from both sides.

$$\frac{5}{8}x=82-\frac{1}{4}$$

Convert 82 to fraction \frac{328}{4}.

$$\frac{5}{8}x=\frac{328}{4}-\frac{1}{4}$$

Since \frac{328}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{8}x=\frac{328-1}{4}$$

Subtract 1 from 328 to get 327.

$$\frac{5}{8}x=\frac{327}{4}$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$x=\frac{327}{4}\times \frac{8}{5}$$

Multiply \frac{327}{4} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{327\times 8}{4\times 5}$$

Do the multiplications in the fraction \frac{327\times 8}{4\times 5}.

$$x=\frac{2616}{20}$$

Reduce the fraction \frac{2616}{20} to lowest terms by extracting and canceling out 4.

$$x=\frac{654}{5}$$