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

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

Solve for x

$$x = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Steps for Solving Linear Equation

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

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

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

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

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

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

Subtract 6x from both sides.

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

Combine 18x and -6x to get 12x.

$$12x+15=-18$$

Subtract 15 from both sides.

$$12x=-18-15$$

Subtract 15 from -18 to get -33.

$$12x=-33$$

Divide both sides by 12.

$$x=\frac{-33}{12}$$

Reduce the fraction \frac{-33}{12} to lowest terms by extracting and canceling out 3.

$$x=-\frac{11}{4}$$