Solve 2x-1/3+x+3/4=5/6

$$\frac { 2 x - 1 } { 3 } + \frac { x + 3 } { 4 } = \frac { 5 } { 6 }$$

Solve for x

$$x=\frac{5}{11}\approx 0.454545455$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4,6.

$$4\left(2x-1\right)+3\left(x+3\right)=10$$

Use the distributive property to multiply 4 by 2x-1.

$$8x-4+3\left(x+3\right)=10$$

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

$$8x-4+3x+9=10$$

Combine 8x and 3x to get 11x.

$$11x-4+9=10$$

Add -4 and 9 to get 5.

$$11x+5=10$$

Subtract 5 from both sides.

$$11x=10-5$$

Subtract 5 from 10 to get 5.

$$11x=5$$

Divide both sides by 11.

$$x=\frac{5}{11}$$