Solve, showing all work: (4x − 6) + (3x + 6)

Note: Drop the parenthesis and add like terms.

The answer is 7x

Step-by-step explanation:

To solve the problem drop the brackets and add the like terms

∵ (4x - 6) + (3x + 6)

- There is no number multiplied by each bracket so drop the

    brackets without any change in the values inside them

∴ (4x - 6) + (3x + 6) = 4x - 6 + 3x + 6

- The terms 4x and 3x are like terms, so add them

∵ 4x + 3x = 7x

- The terms -6 and 6 are like terms, so add them

∵ -6 + 6 = 0

∴ 4x - 6 + 3x + 6 = (4x + 3x) + (-6 + 6)

∵ (4x + 3x) + (-6 + 6) = 7x + 0

∴ 4x - 6 + 3x + 6 = 7x

∴ (4x - 6) + (3x + 6) = 7x

The answer is 7x