Question

Solve the equation.
4(x + 2) + 8 = −3(x − 8) − 1

Answer 1

Are we solving for x here?

Answer 2

Alright so solve the distributive parts of the equation (the parentheses parts)... then match like terms with each other...

Answer 3

Distribute 4 over x+2.
4 (x+2) = 4 x+8:
4 x+8+8 = -1-3 (x-8)

Answer 4

then ddd the numbers in 4 x+8+8 together.
Add like terms. 8+8 = 16
4 x+16 = -1-3 (x-8)

Answer 5

then distribute -3 over x-8.
-3 (x-8) = 24-3 x:
4 x+16 = 24-3 x-1

Answer 6

then add the numbers in -3 x-1+24 together.
Add like terms. 24-1 = 23
4 x+16 = 23-3 x

Answer 7

then move terms with x to the left hand side.
Add 3 x to both sides:
4 x+3 x+16 = (3 x-3 x)+23

Answer 8

then we look for two terms that sum to zero.
3 x-3 x = 0:
4 x+3 x+16 = 23 then after we add like terms in 4 x+3 x+16.
4 x+3 x = 7 x:
7 x+16 = 23

Answer 9

then Isolate terms with x to the left hand side.
Subtract 16 from both sides:
7 x+(16-16) = 23-16
Look for two terms that sum to zero.
16-16 = 0:
7 x = 23-16

Answer 10

then finally evaluate 23-16.
23-16 = 7:
7 x = 7
Divide both sides by a constant to simplify the equation.

Answer 11

divide both sides of 7 x = 7 by 7:
(7 x)/7 = 7/7

Answer 12

Any nonzero number divided by itself is one.
7/7 = 1:
x = 7/7

so x =1

Answer 13

i have to write this down

Answer 14

i mean if you want to

Answer 15

ok because this is alot to comprehend, and i can go back and look at it

Answer 16

ok just read it and you will understand

Answer 17

ok thank you so much

Answer 18

yw