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

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

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$2\left(4x+1\right)-\left(x-3\right)=x+5$$

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

$$8x+2-\left(x-3\right)=x+5$$

To find the opposite of x-3, find the opposite of each term.

$$8x+2-x-\left(-3\right)=x+5$$

The opposite of -3 is 3.

$$8x+2-x+3=x+5$$

Combine 8x and -x to get 7x.

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

Add 2 and 3 to get 5.

$$7x+5=x+5$$

Subtract x from both sides.

$$7x+5-x=5$$

Combine 7x and -x to get 6x.

$$6x+5=5$$

Subtract 5 from both sides.

$$6x=5-5$$

Subtract 5 from 5 to get 0.

$$6x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.

$$x=0$$