Solve 3x-1/6-1-5/6=1+3x/8+2/3

$$\frac { 3 x - 1 } { 6 } - \frac { 1 - 5 } { 6 } = \frac { 1 + 3 x } { 8 } + \frac { 2 } { 3 }$$

Solve for x

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8,3.

$$4\left(3x-1\right)-4\left(1-5\right)=3\left(1+3x\right)+16$$

Use the distributive property to multiply 4 by 3x-1.

$$12x-4-4\left(1-5\right)=3\left(1+3x\right)+16$$

Subtract 5 from 1 to get -4.

$$12x-4-4\left(-4\right)=3\left(1+3x\right)+16$$

Multiply -4 and -4 to get 16.

$$12x-4+16=3\left(1+3x\right)+16$$

Add -4 and 16 to get 12.

$$12x+12=3\left(1+3x\right)+16$$

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

$$12x+12=3+9x+16$$

Add 3 and 16 to get 19.

$$12x+12=19+9x$$

Subtract 9x from both sides.

$$12x+12-9x=19$$

Combine 12x and -9x to get 3x.

$$3x+12=19$$

Subtract 12 from both sides.

$$3x=19-12$$

Subtract 12 from 19 to get 7.

$$3x=7$$

Divide both sides by 3.

$$x=\frac{7}{3}$$