Solve 18(x-107)=3(x+6)

$$18 ( x - 107 ) = 3 ( x + 6 )$$

Solve for x

$$x = \frac{648}{5} = 129\frac{3}{5} = 129.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 18 by x-107.

$$18x-1926=3\left(x+6\right)$$

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

$$18x-1926=3x+18$$

Subtract 3x from both sides.

$$18x-1926-3x=18$$

Combine 18x and -3x to get 15x.

$$15x-1926=18$$

Add 1926 to both sides.

$$15x=18+1926$$

Add 18 and 1926 to get 1944.

$$15x=1944$$

Divide both sides by 15.

$$x=\frac{1944}{15}$$

Reduce the fraction \frac{1944}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{648}{5}$$