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

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

Solve for x

$$x=\frac{17}{25}=0.68$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$18x+3\left(x-1\right)=12-2\left(2x-1\right)$$

Use the distributive property to multiply 3 by x-1.

$$18x+3x-3=12-2\left(2x-1\right)$$

Combine 18x and 3x to get 21x.

$$21x-3=12-2\left(2x-1\right)$$

Use the distributive property to multiply -2 by 2x-1.

$$21x-3=12-4x+2$$

Add 12 and 2 to get 14.

$$21x-3=14-4x$$

Add 4x to both sides.

$$21x-3+4x=14$$

Combine 21x and 4x to get 25x.

$$25x-3=14$$

Add 3 to both sides.

$$25x=14+3$$

Add 14 and 3 to get 17.

$$25x=17$$

Divide both sides by 25.

$$x=\frac{17}{25}$$