Solve 5*(x-1)/6-1=2*x+1/3

$$\frac { 5 \cdot ( x - 1 ) } { 6 } - 1 = 2 \cdot \frac { x + 1 } { 3 }$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 6,3.

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

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

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

Subtract 6 from -5 to get -11.

$$5x-11=4\left(x+1\right)$$

Use the distributive property to multiply 4 by x+1.

$$5x-11=4x+4$$

Subtract 4x from both sides.

$$5x-11-4x=4$$

Combine 5x and -4x to get x.

$$x-11=4$$

Add 11 to both sides.

$$x=4+11$$

Add 4 and 11 to get 15.

$$x=15$$