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

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

Solve for x

$$x=28$$

Steps for Solving Linear Equation

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

$$8\left(x+2\right)=3\left(3x-4\right)$$

Use the distributive property to multiply 8 by x+2.

$$8x+16=3\left(3x-4\right)$$

Use the distributive property to multiply 3 by 3x-4.

$$8x+16=9x-12$$

Subtract 9x from both sides.

$$8x+16-9x=-12$$

Combine 8x and -9x to get -x.

$$-x+16=-12$$

Subtract 16 from both sides.

$$-x=-12-16$$

Subtract 16 from -12 to get -28.

$$-x=-28$$

Multiply both sides by -1.

$$x=28$$