Solve 3(x-9)+x=1/3(x-3)

$$3 ( x - 9 ) + x = \frac { 1 } { 3 } ( x - 3 )$$

Solve for x

$$x = \frac{78}{11} = 7\frac{1}{11} \approx 7.090909091$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-9.

$$3x-27+x=\frac{1}{3}\left(x-3\right)$$

Combine 3x and x to get 4x.

$$4x-27=\frac{1}{3}\left(x-3\right)$$

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

$$4x-27=\frac{1}{3}x+\frac{1}{3}\left(-3\right)$$

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

$$4x-27=\frac{1}{3}x+\frac{-3}{3}$$

Divide -3 by 3 to get -1.

$$4x-27=\frac{1}{3}x-1$$

Subtract \frac{1}{3}x from both sides.

$$4x-27-\frac{1}{3}x=-1$$

Combine 4x and -\frac{1}{3}x to get \frac{11}{3}x.

$$\frac{11}{3}x-27=-1$$

Add 27 to both sides.

$$\frac{11}{3}x=-1+27$$

Add -1 and 27 to get 26.

$$\frac{11}{3}x=26$$

Multiply both sides by \frac{3}{11}, the reciprocal of \frac{11}{3}.

$$x=26\times \frac{3}{11}$$

Express 26\times \frac{3}{11} as a single fraction.

$$x=\frac{26\times 3}{11}$$

Multiply 26 and 3 to get 78.

$$x=\frac{78}{11}$$