Solve 2x+4/12=6x-8/10

$$\frac{ 2x+4 }{ 12 } = \frac{ 6x-8 }{ 10 }$$

Solve for x

$$x = \frac{34}{13} = 2\frac{8}{13} \approx 2.615384615$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 12,10.

$$5\left(2x+4\right)=6\left(6x-8\right)$$

Use the distributive property to multiply 5 by 2x+4.

$$10x+20=6\left(6x-8\right)$$

Use the distributive property to multiply 6 by 6x-8.

$$10x+20=36x-48$$

Subtract 36x from both sides.

$$10x+20-36x=-48$$

Combine 10x and -36x to get -26x.

$$-26x+20=-48$$

Subtract 20 from both sides.

$$-26x=-48-20$$

Subtract 20 from -48 to get -68.

$$-26x=-68$$

Divide both sides by -26.

$$x=\frac{-68}{-26}$$

Reduce the fraction \frac{-68}{-26} to lowest terms by extracting and canceling out -2.

$$x=\frac{34}{13}$$