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

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:

$9 x + \left(5 \times 2 x\right) + \left(5 \times 11\right) = \left(3 \times x\right) + \left(3 \times 21\right) + \left(2 \times 8 x\right) - \left(2 \times 4\right)$

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

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

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

$\left(9 + 10\right) x + 55 = \left(3 + 16\right) x + 55$

$19 x + 55 = 19 x + 55$

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.