Solve 7+x-1/6+4x-1/3=20

$$\frac{ 7+x-1 }{ 6 } + \frac{ 4x-1 }{ 3 } = 20$$

Solve for x

$$x = \frac{116}{9} = 12\frac{8}{9} \approx 12.888888889$$

Steps for Solving Linear Equation

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

$$7+x-1+2\left(4x-1\right)=120$$

Subtract 1 from 7 to get 6.

$$6+x+2\left(4x-1\right)=120$$

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

$$6+x+8x-2=120$$

Combine x and 8x to get 9x.

$$6+9x-2=120$$

Subtract 2 from 6 to get 4.

$$4+9x=120$$

Subtract 4 from both sides.

$$9x=120-4$$

Subtract 4 from 120 to get 116.

$$9x=116$$

Divide both sides by 9.

$$x=\frac{116}{9}$$