Answer:
a one solutions x=3
b one solution x=36
c infinite solutions
Step-by-step explanation:
(a) 4x + 2(x – 1) = 10 + 2x
Distribute
4x+2x-2 = 10+2x
Combine like terms
6x-2 = 10+2x
Subtract 2x from each side
6x-2x-2 = 10+2x-2x
4x-2 = 10
Add 2 to each side
4x-2+2 =10+2
4x=12
Divide by 4
4x/4 = 12/4
x=3
There is one solution
(b) 30 – x = 10 – (6 + 10)
Distribute the minus sign
30-x = 10-6-10
30-x=-6
Subtract 30 from each side
30-x-30 = -6-30
-x = -36
Multiply by -1
x = 36
(c) 8x = 4x + 4x + 10(x-x)
Parentheses first
8x = 4x+4x+10(0)
8x=4x+4x
Combine like terms
8x=8x
Subtract 8x from each side
8x-8x=8x-8x
0=0
This is always a true statement
x =all real numbers
infinite solutions
