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

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

Solve for x

$$x = \frac{41}{5} = 8\frac{1}{5} = 8.2$$

Steps for Solving Linear Equation

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

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

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

$$7x-1+8x-2=120$$

Combine 7x and 8x to get 15x.

$$15x-1-2=120$$

Subtract 2 from -1 to get -3.

$$15x-3=120$$

Add 3 to both sides.

$$15x=120+3$$

Add 120 and 3 to get 123.

$$15x=123$$

Divide both sides by 15.

$$x=\frac{123}{15}$$

Reduce the fraction \frac{123}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{41}{5}$$