Solve 1/3(15x-12)=9x-6

$$\frac { 1 } { 3 } ( 15 x - 12 ) = 9 x - 6$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by 15x-12.

$$\frac{1}{3}\times 15x+\frac{1}{3}\left(-12\right)=9x-6$$

Multiply \frac{1}{3} and 15 to get \frac{15}{3}.

$$\frac{15}{3}x+\frac{1}{3}\left(-12\right)=9x-6$$

Divide 15 by 3 to get 5.

$$5x+\frac{1}{3}\left(-12\right)=9x-6$$

Multiply \frac{1}{3} and -12 to get \frac{-12}{3}.

$$5x+\frac{-12}{3}=9x-6$$

Divide -12 by 3 to get -4.

$$5x-4=9x-6$$

Subtract 9x from both sides.

$$5x-4-9x=-6$$

Combine 5x and -9x to get -4x.

$$-4x-4=-6$$

Add 4 to both sides.

$$-4x=-6+4$$

Add -6 and 4 to get -2.

$$-4x=-2$$

Divide both sides by -4.

$$x=\frac{-2}{-4}$$

Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.

$$x=\frac{1}{2}$$