Solve 9(2x-1)=3(x+2)+3x

$$9(2x-1)=3(x+2)+3x$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by 2x-1.

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

Use the distributive property to multiply 3 by x+2.

$$18x-9=3x+6+3x$$

Combine 3x and 3x to get 6x.

$$18x-9=6x+6$$

Subtract 6x from both sides.

$$18x-9-6x=6$$

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

$$12x-9=6$$

Add 9 to both sides.

$$12x=6+9$$

Add 6 and 9 to get 15.

$$12x=15$$

Divide both sides by 12.

$$x=\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$x=\frac{5}{4}$$