Solve x+1/2+2x-1/3=5/6

$$\frac { x + 1 } { 2 } + \frac { 2 x - 1 } { 3 } = \frac { 5 } { 6 }$$

Solve for x

$$x=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

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

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

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

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

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

$$3x+3+4x-2=5$$

Combine 3x and 4x to get 7x.

$$7x+3-2=5$$

Subtract 2 from 3 to get 1.

$$7x+1=5$$

Subtract 1 from both sides.

$$7x=5-1$$

Subtract 1 from 5 to get 4.

$$7x=4$$

Divide both sides by 7.

$$x=\frac{4}{7}$$