Solve 8x+11/3=6x-3/8

$$\frac { 8 x + 11 } { 3 } = \frac { 6 x - 3 } { 8 }$$

Solve for x

$$x = -\frac{97}{46} = -2\frac{5}{46} \approx -2.108695652$$

Steps for Solving Linear Equation

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

$$8\left(8x+11\right)=3\left(6x-3\right)$$

Use the distributive property to multiply 8 by 8x+11.

$$64x+88=3\left(6x-3\right)$$

Use the distributive property to multiply 3 by 6x-3.

$$64x+88=18x-9$$

Subtract 18x from both sides.

$$64x+88-18x=-9$$

Combine 64x and -18x to get 46x.

$$46x+88=-9$$

Subtract 88 from both sides.

$$46x=-9-88$$

Subtract 88 from -9 to get -97.

$$46x=-97$$

Divide both sides by 46.

$$x=\frac{-97}{46}$$

Fraction \frac{-97}{46} can be rewritten as -\frac{97}{46} by extracting the negative sign.

$$x=-\frac{97}{46}$$