Solve 6x+4/3=5x-5/8

$$\frac{ 6x+4 }{ 3 } = \frac{ 5x-5 }{ 8 }$$

Solve for x

$$x = -\frac{47}{33} = -1\frac{14}{33} \approx -1.424242424$$

Steps for Solving Linear Equation

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

$$8\left(6x+4\right)=3\left(5x-5\right)$$

Use the distributive property to multiply 8 by 6x+4.

$$48x+32=3\left(5x-5\right)$$

Use the distributive property to multiply 3 by 5x-5.

$$48x+32=15x-15$$

Subtract 15x from both sides.

$$48x+32-15x=-15$$

Combine 48x and -15x to get 33x.

$$33x+32=-15$$

Subtract 32 from both sides.

$$33x=-15-32$$

Subtract 32 from -15 to get -47.

$$33x=-47$$

Divide both sides by 33.

$$x=\frac{-47}{33}$$

Fraction \frac{-47}{33} can be rewritten as -\frac{47}{33} by extracting the negative sign.

$$x=-\frac{47}{33}$$