Solve 3x-6/2=8x+9/5

$$\frac { 3 x - 6 } { 2 } = \frac { 8 x + 9 } { 5 }$$

Solve for x

$$x=-48$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\left(3x-6\right)=2\left(8x+9\right)$$

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

$$15x-30=2\left(8x+9\right)$$

Use the distributive property to multiply 2 by 8x+9.

$$15x-30=16x+18$$

Subtract 16x from both sides.

$$15x-30-16x=18$$

Combine 15x and -16x to get -x.

$$-x-30=18$$

Add 30 to both sides.

$$-x=18+30$$

Add 18 and 30 to get 48.

$$-x=48$$

Multiply both sides by -1.

$$x=-48$$