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

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

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

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

$$2\left(x+3\right)-\left(2x-1\right)=6x+6$$

Use the distributive property to multiply 2 by x+3.

$$2x+6-\left(2x-1\right)=6x+6$$

To find the opposite of 2x-1, find the opposite of each term.

$$2x+6-2x-\left(-1\right)=6x+6$$

The opposite of -1 is 1.

$$2x+6-2x+1=6x+6$$

Combine 2x and -2x to get 0.

$$6+1=6x+6$$

Add 6 and 1 to get 7.

$$7=6x+6$$

Swap sides so that all variable terms are on the left hand side.

$$6x+6=7$$

Subtract 6 from both sides.

$$6x=7-6$$

Subtract 6 from 7 to get 1.

$$6x=1$$

Divide both sides by 6.

$$x=\frac{1}{6}$$