# Distributive Property - Solve Equation

Using the Distributive Property

Solve for x.

3x - 5 = 2(x + 3)

Use the Distributive Law to expand the expression 2(x + 3) on the right side of the equation.

### Comments for Distributive Property - Solve Equation

 Feb 16, 2011 Distributive Property - Solve Equation by: Staff The question: what is x in the problem 3x-5=2(x+3) The answer: 3x – 5 = 2(x + 3) Use the Distributive Law to eliminate the parentheses on the right side of the equation. 3x – 5 = 2(x + 3) 3x – 5 = 2*x + 2*3 3x – 5 = 2x + 6 Subtract 2x from each side of the equation 3x – 5 = 2x + 6 3x – 2x – 5 = 2x – 2x + 6 3x – 2x – 5 = 0 + 6 3x – 2x – 5 = 6 x – 5 = 6 Add 5 to each side of the equation x – 5 = 6 x – 5 + 5 = 6 + 5 x + 0 = 6 + 5 x = 6 + 5 x = 11 The final answer is: x = 11 As a last step, check the work. Substitute 11 for every x in the original equation. 3x – 5 = 2(x + 3) 3*11 – 5 = 2(11 + 3) 3*11 – 5 = 2(14) 3*11 – 5 = 2*14 3*11 – 5 = 28 33 – 5 = 28 28 = 28 Since 28 does = 28, the solution x = 11 is correct. Thanks for writing. Staff www.solving-math-problems.com

 Feb 02, 2014 Answer by: Anonymous (3-7k).-2

 Feb 02, 2014 Answer by: Anonymous (3-7k).-2

 Nov 19, 2019 Math for algebra NEW by: Jason Ta The distributive property is how to write algebra expressions in expanded form.