Answer:
1.) -2x + 24
2.) 3x + 21
3.) 5x - 17
4.) 15x
5.) 18
Step-by-step explanation:
1.) The first step to simplify this equation is to combine like terms. Also remember to always keep the sign before the number/variable to use when combining like terms.
3x + 14 - 5x + 10
3x - 5x + 14 + 10
-2x + 24
2.) Use distributive property to distribute the 3 to x and 7. Keep the sign.
3(x + 7)
3x + 21
3.) Use distributive property to distribute the 5 to x and 4 then add three. Keep the signs. Combine like terms.
5(x - 4) + 3
5x - 20 + 3
5x - 17
4.) Once again, use distributive property to distribute the 3x to x and 4. When multiplying 3x times x just think of x with a 1 in front of it (1x) and just multiply 3 times 1. Carry the x when multiplying 4x times 4. Combine like terms.
3x (x + 4)
3x + 12x
15x
5.) All you have to do is replace x in "3x" and solve.
3(10) - 12
30 - 12
18
If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)