Solve 37/36=x+111/12

$$3 \frac { 7 } { 36 } = x + 1 \frac { 11 } { 12 }$$

Solve for x

$$x = \frac{23}{18} = 1\frac{5}{18} \approx 1.277777778$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 36,12.

$$3\times 36+7=36x+3\left(1\times 12+11\right)$$

Multiply 3 and 36 to get 108.

$$108+7=36x+3\left(1\times 12+11\right)$$

Add 108 and 7 to get 115.

$$115=36x+3\left(1\times 12+11\right)$$

Multiply 1 and 12 to get 12.

$$115=36x+3\left(12+11\right)$$

Add 12 and 11 to get 23.

$$115=36x+3\times 23$$

Multiply 3 and 23 to get 69.

$$115=36x+69$$

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

$$36x+69=115$$

Subtract 69 from both sides.

$$36x=115-69$$

Subtract 69 from 115 to get 46.

$$36x=46$$

Divide both sides by 36.

$$x=\frac{46}{36}$$

Reduce the fraction \frac{46}{36} to lowest terms by extracting and canceling out 2.

$$x=\frac{23}{18}$$