Solve 5x+6/2=9x-3/3

$$\frac { 5 x + 6 } { 2 } = \frac { 9 x - 3 } { 3 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

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

$$3\left(5x+6\right)=2\left(9x-3\right)$$

Use the distributive property to multiply 3 by 5x+6.

$$15x+18=2\left(9x-3\right)$$

Use the distributive property to multiply 2 by 9x-3.

$$15x+18=18x-6$$

Subtract 18x from both sides.

$$15x+18-18x=-6$$

Combine 15x and -18x to get -3x.

$$-3x+18=-6$$

Subtract 18 from both sides.

$$-3x=-6-18$$

Subtract 18 from -6 to get -24.

$$-3x=-24$$

Divide both sides by -3.

$$x=\frac{-24}{-3}$$

Divide -24 by -3 to get 8.

$$x=8$$