Solve 5x/3+9/8=7x/6+3/16

$$\frac { 5 x } { 3 } + \frac { 9 } { 8 } = \frac { 7 x } { 6 } + \frac { 3 } { 16 }$$

Solve for x

$$x = -\frac{15}{8} = -1\frac{7}{8} = -1.875$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48, the least common multiple of 3,8,6,16.

$$16\times 5x+54=8\times 7x+9$$

Multiply 16 and 5 to get 80.

$$80x+54=8\times 7x+9$$

Multiply 8 and 7 to get 56.

$$80x+54=56x+9$$

Subtract 56x from both sides.

$$80x+54-56x=9$$

Combine 80x and -56x to get 24x.

$$24x+54=9$$

Subtract 54 from both sides.

$$24x=9-54$$

Subtract 54 from 9 to get -45.

$$24x=-45$$

Divide both sides by 24.

$$x=\frac{-45}{24}$$

Reduce the fraction \frac{-45}{24} to lowest terms by extracting and canceling out 3.

$$x=-\frac{15}{8}$$