Answer:
12x + 2
Step-by-step explanation:
To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.
(8x + 5) + (4x - 3) Remove brackets to add a binomial (2-term brackets)
= 8x + 5 + 4x - 3 Collect like terms
= 8x + 4x + 5 - 3 I rearranged so you can see which terms are alike
= 12x + 5 - 3 Collected like terms with "x" (8x + 4x = 12x)
= 12x + 2 Collected like terms with no variables (5 - 3 = 2)
Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.
If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.
12x + 2
= 2(12x/2 + 2/2)
= 2(6x + 1) This is equal, but in factored form.
