Solve 5x/3+9/8=7x/6+3/46

$$\frac { 5 x } { 3 } + \frac { 9 } { 8 } = \frac { 7 x } { 6 } + \frac { 3 } { 46 }$$

Solve for x

$$x = -\frac{195}{92} = -2\frac{11}{92} \approx -2.119565217$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 552, the least common multiple of 3,8,6,46.

$$184\times 5x+621=92\times 7x+36$$

Multiply 184 and 5 to get 920.

$$920x+621=92\times 7x+36$$

Multiply 92 and 7 to get 644.

$$920x+621=644x+36$$

Subtract 644x from both sides.

$$920x+621-644x=36$$

Combine 920x and -644x to get 276x.

$$276x+621=36$$

Subtract 621 from both sides.

$$276x=36-621$$

Subtract 621 from 36 to get -585.

$$276x=-585$$

Divide both sides by 276.

$$x=\frac{-585}{276}$$

Reduce the fraction \frac{-585}{276} to lowest terms by extracting and canceling out 3.

$$x=-\frac{195}{92}$$