Solve x-4=1/3(6x-54)

$$x - 4 = \frac { 1 } { 3 } ( 6 x - 54 )$$

Solve for x

$$x=14$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by 6x-54.

$$x-4=\frac{1}{3}\times 6x+\frac{1}{3}\left(-54\right)$$

Multiply \frac{1}{3} and 6 to get \frac{6}{3}.

$$x-4=\frac{6}{3}x+\frac{1}{3}\left(-54\right)$$

Divide 6 by 3 to get 2.

$$x-4=2x+\frac{1}{3}\left(-54\right)$$

Multiply \frac{1}{3} and -54 to get \frac{-54}{3}.

$$x-4=2x+\frac{-54}{3}$$

Divide -54 by 3 to get -18.

$$x-4=2x-18$$

Subtract 2x from both sides.

$$x-4-2x=-18$$

Combine x and -2x to get -x.

$$-x-4=-18$$

Add 4 to both sides.

$$-x=-18+4$$

Add -18 and 4 to get -14.

$$-x=-14$$

Multiply both sides by -1.

$$x=14$$