Solve x+6/5+x-1/4=2

$$\frac { x + 6 } { 5 } + \frac { x - 1 } { 4 } = 2$$

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,4.

$$4\left(x+6\right)+5\left(x-1\right)=40$$

Use the distributive property to multiply 4 by x+6.

$$4x+24+5\left(x-1\right)=40$$

Use the distributive property to multiply 5 by x-1.

$$4x+24+5x-5=40$$

Combine 4x and 5x to get 9x.

$$9x+24-5=40$$

Subtract 5 from 24 to get 19.

$$9x+19=40$$

Subtract 19 from both sides.

$$9x=40-19$$

Subtract 19 from 40 to get 21.

$$9x=21$$

Divide both sides by 9.

$$x=\frac{21}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{7}{3}$$