Solve 14x-3/6=9x+54/8

$$\frac { 14 x - 3 } { 6 } = \frac { 9 x + 54 } { 8 }$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

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

$$4\left(14x-3\right)=3\left(9x+54\right)$$

Use the distributive property to multiply 4 by 14x-3.

$$56x-12=3\left(9x+54\right)$$

Use the distributive property to multiply 3 by 9x+54.

$$56x-12=27x+162$$

Subtract 27x from both sides.

$$56x-12-27x=162$$

Combine 56x and -27x to get 29x.

$$29x-12=162$$

Add 12 to both sides.

$$29x=162+12$$

Add 162 and 12 to get 174.

$$29x=174$$

Divide both sides by 29.

$$x=\frac{174}{29}$$

Divide 174 by 29 to get 6.

$$x=6$$