Question

Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Answer 1

Answer:

Part A:

x = 6

Step-by-step explanation:

5(x + 2) = 6x + 3x - 14

use the distributive property for the left side of the equation

(in case you don't know, * means multiply)

$5 * x = 5x$

$5 * + 2 = 10$

$5x + 10 = (6x + 3x) - 14$

combine like terms on the right of the equation.

$(6x + 3x) = 9x$

$5x + 10 = 9x - 14$

Move the +10 on the left to the right (change the + to a - )

$5x = 9x - 14 - 10$

Move the +9x on the right to the left (change the + to a - )

$5x - 9x = -14 -10$

All the like terms are together so now you can combine them.

$5x - 9x = -4x\\-14 - 10 = -24$

$-4x = -24$

divide both sides by -4 so the x is by itself

x = 6

Hope this was helpful :-)

Answer 2

Answer:

x=8

Step-by-step explanation:

5(x+2)=6x+3x-14

5x+10=6x+3x-14. distributive property

10+14=8x-5x. combine like term

24=3x. addition and subtraction property

24/3 = 3x/3. division property

8=x

> x = 8