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.

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