Solve x-((1/3x+5)+(1/4x-6))=198

$$x-(( \frac{ 1 }{ 3 } x+5)+( \frac{ 1 }{ 4 } x-6))=198$$

Solve for x

$$x = \frac{2364}{5} = 472\frac{4}{5} = 472.8$$

Steps for Solving Linear Equation

Combine \frac{1}{3}x and \frac{1}{4}x to get \frac{7}{12}x.

$$x-\left(\frac{7}{12}x+5-6\right)=198$$

Subtract 6 from 5 to get -1.

$$x-\left(\frac{7}{12}x-1\right)=198$$

To find the opposite of \frac{7}{12}x-1, find the opposite of each term.

$$x-\frac{7}{12}x-\left(-1\right)=198$$

The opposite of -1 is 1.

$$x-\frac{7}{12}x+1=198$$

Combine x and -\frac{7}{12}x to get \frac{5}{12}x.

$$\frac{5}{12}x+1=198$$

Subtract 1 from both sides.

$$\frac{5}{12}x=198-1$$

Subtract 1 from 198 to get 197.

$$\frac{5}{12}x=197$$

Multiply both sides by \frac{12}{5}, the reciprocal of \frac{5}{12}.

$$x=197\times \frac{12}{5}$$

Express 197\times \frac{12}{5} as a single fraction.

$$x=\frac{197\times 12}{5}$$

Multiply 197 and 12 to get 2364.

$$x=\frac{2364}{5}$$