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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

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

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

$$4x-2+3x=1+2\times 2x$$

Combine 4x and 3x to get 7x.

$$7x-2=1+2\times 2x$$

Multiply 2 and 2 to get 4.

$$7x-2=1+4x$$

Subtract 4x from both sides.

$$7x-2-4x=1$$

Combine 7x and -4x to get 3x.

$$3x-2=1$$

Add 2 to both sides.

$$3x=1+2$$

Add 1 and 2 to get 3.

$$3x=3$$

Divide both sides by 3.

$$x=\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$x=1$$