Solve 1272=960(1+(1/12)x)

$$1272=960(1+( \frac{ 1 }{ 12 } )x)$$

Solve for x

$$x = \frac{39}{10} = 3\frac{9}{10} = 3.9$$

Steps for Solving Linear Equation

Divide both sides by 960.

$$\frac{1272}{960}=1+\frac{1}{12}x$$

Reduce the fraction \frac{1272}{960} to lowest terms by extracting and canceling out 24.

$$\frac{53}{40}=1+\frac{1}{12}x$$

Swap sides so that all variable terms are on the left hand side.

$$1+\frac{1}{12}x=\frac{53}{40}$$

Subtract 1 from both sides.

$$\frac{1}{12}x=\frac{53}{40}-1$$

Convert 1 to fraction \frac{40}{40}.

$$\frac{1}{12}x=\frac{53}{40}-\frac{40}{40}$$

Since \frac{53}{40} and \frac{40}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{12}x=\frac{53-40}{40}$$

Subtract 40 from 53 to get 13.

$$\frac{1}{12}x=\frac{13}{40}$$

Multiply both sides by 12, the reciprocal of \frac{1}{12}.

$$x=\frac{13}{40}\times 12$$

Express \frac{13}{40}\times 12 as a single fraction.

$$x=\frac{13\times 12}{40}$$

Multiply 13 and 12 to get 156.

$$x=\frac{156}{40}$$

Reduce the fraction \frac{156}{40} to lowest terms by extracting and canceling out 4.

$$x=\frac{39}{10}$$