How do you solve #9x + 5( 2x + 11) = 3( x + 21) + 2( 8x - 4)#?

1 Answer
smendyka
Feb 26, 2017

See the entire solution process below:

Explanation:

First, expand all the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis. Be careful to handle the signs of each individual term correctly:

#9x + (5 xx 2x) + (5 xx 11) = (3 xx x) + (3 xx 21) + (2 xx 8x) - (2 xx 4)#

#9x + 10x + 55 = 3x + 63 + 16x - 8#

Next, group and combine like terms on each side of the equation:

#9x + 10x + 55 = 3x + 16x + 63 - 8#

#(9 + 10)x + 55 = (3 + 16)x + 55#

#19x + 55 = 19x + 55#

Because both sides of the equation are now the same, the solution is x is all real numbers. Any number you select for #x# this equation will be true.

Related questions
See all questions in Equations with Variables on Both Sides
Impact of this question
1852 views around the world
You can reuse this answer
Creative Commons License