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

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

Solve for x

$$x=-\frac{25}{58}\approx -0.431034483$$

Steps for Solving Linear Equation

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

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

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

$$64x+16=3\left(2x-3\right)$$

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

$$64x+16=6x-9$$

Subtract 6x from both sides.

$$64x+16-6x=-9$$

Combine 64x and -6x to get 58x.

$$58x+16=-9$$

Subtract 16 from both sides.

$$58x=-9-16$$

Subtract 16 from -9 to get -25.

$$58x=-25$$

Divide both sides by 58.

$$x=\frac{-25}{58}$$

Fraction \frac{-25}{58} can be rewritten as -\frac{25}{58} by extracting the negative sign.

$$x=-\frac{25}{58}$$