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

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

Solve for x

$$x=-34$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\times 2\left(x-1\right)+30=5\left(x-2\right)$$

Multiply 3 and 2 to get 6.

$$6\left(x-1\right)+30=5\left(x-2\right)$$

Use the distributive property to multiply 6 by x-1.

$$6x-6+30=5\left(x-2\right)$$

Add -6 and 30 to get 24.

$$6x+24=5\left(x-2\right)$$

Use the distributive property to multiply 5 by x-2.

$$6x+24=5x-10$$

Subtract 5x from both sides.

$$6x+24-5x=-10$$

Combine 6x and -5x to get x.

$$x+24=-10$$

Subtract 24 from both sides.

$$x=-10-24$$

Subtract 24 from -10 to get -34.

$$x=-34$$