Solve 5/6*4-37/6*2+x=2

$$\frac { 5 } { 6 } \times 4 - \frac { 37 } { 6 } \times 2 + x = 2$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

Express \frac{5}{6}\times 4 as a single fraction.

$$\frac{5\times 4}{6}-\frac{37}{6}\times 2+x=2$$

Multiply 5 and 4 to get 20.

$$\frac{20}{6}-\frac{37}{6}\times 2+x=2$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}-\frac{37}{6}\times 2+x=2$$

Express \frac{37}{6}\times 2 as a single fraction.

$$\frac{10}{3}-\frac{37\times 2}{6}+x=2$$

Multiply 37 and 2 to get 74.

$$\frac{10}{3}-\frac{74}{6}+x=2$$

Reduce the fraction \frac{74}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}-\frac{37}{3}+x=2$$

Since \frac{10}{3} and \frac{37}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-37}{3}+x=2$$

Subtract 37 from 10 to get -27.

$$\frac{-27}{3}+x=2$$

Divide -27 by 3 to get -9.

$$-9+x=2$$

Add 9 to both sides.

$$x=2+9$$

Add 2 and 9 to get 11.

$$x=11$$