Solve 5(x+3)=3(x+3)+6

$$5 ( x + 3 ) = 3 ( x + 3 ) + 6$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

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

$$5x+15=3\left(x+3\right)+6$$

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

$$5x+15=3x+9+6$$

Add 9 and 6 to get 15.

$$5x+15=3x+15$$

Subtract 3x from both sides.

$$5x+15-3x=15$$

Combine 5x and -3x to get 2x.

$$2x+15=15$$

Subtract 15 from both sides.

$$2x=15-15$$

Subtract 15 from 15 to get 0.

$$2x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.

$$x=0$$