Solve 2x/7+54=3/2(x-18)

$$\frac { 2 x } { 7 } + 54 = \frac { 3 } { 2 } ( x - 18 )$$

Solve for x

$$x = \frac{1134}{17} = 66\frac{12}{17} \approx 66.705882353$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$2\times 2x+756=21\left(x-18\right)$$

Multiply 2 and 2 to get 4.

$$4x+756=21\left(x-18\right)$$

Use the distributive property to multiply 21 by x-18.

$$4x+756=21x-378$$

Subtract 21x from both sides.

$$4x+756-21x=-378$$

Combine 4x and -21x to get -17x.

$$-17x+756=-378$$

Subtract 756 from both sides.

$$-17x=-378-756$$

Subtract 756 from -378 to get -1134.

$$-17x=-1134$$

Divide both sides by -17.

$$x=\frac{-1134}{-17}$$

Fraction \frac{-1134}{-17} can be simplified to \frac{1134}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1134}{17}$$