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

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

Solve for x

$$x=\frac{4}{23}\approx 0.173913043$$

Steps for Solving Linear Equation

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

$$2\times 4x+18x=3\left(x+1\right)+1$$

Multiply 2 and 4 to get 8.

$$8x+18x=3\left(x+1\right)+1$$

Combine 8x and 18x to get 26x.

$$26x=3\left(x+1\right)+1$$

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

$$26x=3x+3+1$$

Add 3 and 1 to get 4.

$$26x=3x+4$$

Subtract 3x from both sides.

$$26x-3x=4$$

Combine 26x and -3x to get 23x.

$$23x=4$$

Divide both sides by 23.

$$x=\frac{4}{23}$$