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

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

Solve for x

$$x = \frac{25}{12} = 2\frac{1}{12} \approx 2.083333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$24+4\left(3x-2\right)=3\left(8x-3\right)$$

Use the distributive property to multiply 4 by 3x-2.

$$24+12x-8=3\left(8x-3\right)$$

Subtract 8 from 24 to get 16.

$$16+12x=3\left(8x-3\right)$$

Use the distributive property to multiply 3 by 8x-3.

$$16+12x=24x-9$$

Subtract 24x from both sides.

$$16+12x-24x=-9$$

Combine 12x and -24x to get -12x.

$$16-12x=-9$$

Subtract 16 from both sides.

$$-12x=-9-16$$

Subtract 16 from -9 to get -25.

$$-12x=-25$$

Divide both sides by -12.

$$x=\frac{-25}{-12}$$

Fraction \frac{-25}{-12} can be simplified to \frac{25}{12} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{25}{12}$$