Solve x-3/6=2(3x+1)

$$\frac { x - 3 } { 6 } = 2 ( 3 x + 1 )$$

Solve for x

$$x=-\frac{3}{7}\approx -0.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$x-3=12\left(3x+1\right)$$

Use the distributive property to multiply 12 by 3x+1.

$$x-3=36x+12$$

Subtract 36x from both sides.

$$x-3-36x=12$$

Combine x and -36x to get -35x.

$$-35x-3=12$$

Add 3 to both sides.

$$-35x=12+3$$

Add 12 and 3 to get 15.

$$-35x=15$$

Divide both sides by -35.

$$x=\frac{15}{-35}$$

Reduce the fraction \frac{15}{-35} to lowest terms by extracting and canceling out 5.

$$x=-\frac{3}{7}$$