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

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

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

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

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

Multiply 3 and 3 to get 9.

$$9\left(x+1\right)-\left(x+1\right)=6$$

Use the distributive property to multiply 9 by x+1.

$$9x+9-\left(x+1\right)=6$$

To find the opposite of x+1, find the opposite of each term.

$$9x+9-x-1=6$$

Combine 9x and -x to get 8x.

$$8x+9-1=6$$

Subtract 1 from 9 to get 8.

$$8x+8=6$$

Subtract 8 from both sides.

$$8x=6-8$$

Subtract 8 from 6 to get -2.

$$8x=-2$$

Divide both sides by 8.

$$x=\frac{-2}{8}$$

Reduce the fraction \frac{-2}{8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{4}$$