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

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

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3x-1\right)=2\left(2x+6\right)$$

Use the distributive property to multiply 3 by 3x-1.

$$9x-3=2\left(2x+6\right)$$

Use the distributive property to multiply 2 by 2x+6.

$$9x-3=4x+12$$

Subtract 4x from both sides.

$$9x-3-4x=12$$

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

$$5x-3=12$$

Add 3 to both sides.

$$5x=12+3$$

Add 12 and 3 to get 15.

$$5x=15$$

Divide both sides by 5.

$$x=\frac{15}{5}$$

Divide 15 by 5 to get 3.

$$x=3$$