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

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

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x+1.

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

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

$$6x+3=5+2x+4$$

Add 5 and 4 to get 9.

$$6x+3=9+2x$$

Subtract 2x from both sides.

$$6x+3-2x=9$$

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

$$4x+3=9$$

Subtract 3 from both sides.

$$4x=9-3$$

Subtract 3 from 9 to get 6.

$$4x=6$$

Divide both sides by 4.

$$x=\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{3}{2}$$