Solve 3(2x+4)=+2(x+15)

$$3(2x+4)=+2(x+15)$$

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+4.

$$6x+12=2\left(x+15\right)$$

Use the distributive property to multiply 2 by x+15.

$$6x+12=2x+30$$

Subtract 2x from both sides.

$$6x+12-2x=30$$

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

$$4x+12=30$$

Subtract 12 from both sides.

$$4x=30-12$$

Subtract 12 from 30 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.

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