Solve 3(2x-3)=2(x+5)-1

$$3 ( 2 x - 3 ) = 2 ( x + 5 ) - 1$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

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

$$6x-9=2\left(x+5\right)-1$$

Use the distributive property to multiply 2 by x+5.

$$6x-9=2x+10-1$$

Subtract 1 from 10 to get 9.

$$6x-9=2x+9$$

Subtract 2x from both sides.

$$6x-9-2x=9$$

Combine 6x and -2x to get 4x.

$$4x-9=9$$

Add 9 to both sides.

$$4x=9+9$$

Add 9 and 9 to get 18.

$$4x=18$$

Divide both sides by 4.

$$x=\frac{18}{4}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{2}$$