Solve 3x+8/2=6x-8/28

$$\frac { 3 x + 8 } { 2 } = \frac { 6 x - 8 } { 28 }$$

Solve for x

$$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28, the least common multiple of 2,28.

$$14\left(3x+8\right)=6x-8$$

Use the distributive property to multiply 14 by 3x+8.

$$42x+112=6x-8$$

Subtract 6x from both sides.

$$42x+112-6x=-8$$

Combine 42x and -6x to get 36x.

$$36x+112=-8$$

Subtract 112 from both sides.

$$36x=-8-112$$

Subtract 112 from -8 to get -120.

$$36x=-120$$

Divide both sides by 36.

$$x=\frac{-120}{36}$$

Reduce the fraction \frac{-120}{36} to lowest terms by extracting and canceling out 12.

$$x=-\frac{10}{3}$$