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

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

Solve for x

$$x = \frac{23}{19} = 1\frac{4}{19} \approx 1.210526316$$

Steps for Solving Linear Equation

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

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

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

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

Combine 12x and 3x to get 15x.

$$15x-3=18-2\left(2x-1\right)$$

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

$$15x-3=18-4x+2$$

Add 18 and 2 to get 20.

$$15x-3=20-4x$$

Add 4x to both sides.

$$15x-3+4x=20$$

Combine 15x and 4x to get 19x.

$$19x-3=20$$

Add 3 to both sides.

$$19x=20+3$$

Add 20 and 3 to get 23.

$$19x=23$$

Divide both sides by 19.

$$x=\frac{23}{19}$$