Question

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

Answer 1

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.