Solve 8x+2/6+2=2x-9/8

$$\frac { 8 x + 2 } { 6 } + 2 = \frac { 2 x - 9 } { 8 }$$

Solve for x

$$x = -\frac{83}{26} = -3\frac{5}{26} \approx -3.192307692$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

$$4\left(8x+2\right)+48=3\left(2x-9\right)$$

Use the distributive property to multiply 4 by 8x+2.

$$32x+8+48=3\left(2x-9\right)$$

Add 8 and 48 to get 56.

$$32x+56=3\left(2x-9\right)$$

Use the distributive property to multiply 3 by 2x-9.

$$32x+56=6x-27$$

Subtract 6x from both sides.

$$32x+56-6x=-27$$

Combine 32x and -6x to get 26x.

$$26x+56=-27$$

Subtract 56 from both sides.

$$26x=-27-56$$

Subtract 56 from -27 to get -83.

$$26x=-83$$

Divide both sides by 26.

$$x=\frac{-83}{26}$$

Fraction \frac{-83}{26} can be rewritten as -\frac{83}{26} by extracting the negative sign.

$$x=-\frac{83}{26}$$