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

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

Solve for x

$$x = \frac{26}{11} = 2\frac{4}{11} \approx 2.363636364$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,5,2.

$$10\left(2x-2\right)+6\left(x-1\right)=15x$$

Use the distributive property to multiply 10 by 2x-2.

$$20x-20+6\left(x-1\right)=15x$$

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

$$20x-20+6x-6=15x$$

Combine 20x and 6x to get 26x.

$$26x-20-6=15x$$

Subtract 6 from -20 to get -26.

$$26x-26=15x$$

Subtract 15x from both sides.

$$26x-26-15x=0$$

Combine 26x and -15x to get 11x.

$$11x-26=0$$

Add 26 to both sides. Anything plus zero gives itself.

$$11x=26$$

Divide both sides by 11.

$$x=\frac{26}{11}$$