Solve 4x-1/6+2=3x-1/8

$$\frac { 4 x - 1 } { 6 } + 2 = \frac { 3 x - 1 } { 8 }$$

Solve for x

$$x = -\frac{47}{7} = -6\frac{5}{7} \approx -6.714285714$$

Steps for Solving Linear Equation

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

$$4\left(4x-1\right)+48=3\left(3x-1\right)$$

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

$$16x-4+48=3\left(3x-1\right)$$

Add -4 and 48 to get 44.

$$16x+44=3\left(3x-1\right)$$

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

$$16x+44=9x-3$$

Subtract 9x from both sides.

$$16x+44-9x=-3$$

Combine 16x and -9x to get 7x.

$$7x+44=-3$$

Subtract 44 from both sides.

$$7x=-3-44$$

Subtract 44 from -3 to get -47.

$$7x=-47$$

Divide both sides by 7.

$$x=\frac{-47}{7}$$

Fraction \frac{-47}{7} can be rewritten as -\frac{47}{7} by extracting the negative sign.

$$x=-\frac{47}{7}$$