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3 votes
(20x+16)°
(21x+11)º
What is the value of x?

User Fathima
by
7.6k points

1 Answer

12 votes
Simplify
(20x + 16) = (21x + 11)

Reorder the terms:
(16 + 20x) = (21x + 11)

Remove parenthesis around (16 + 20x)
16 + 20x = (21x + 11)

Reorder the terms:
16 + 20x = (11 + 21x)

Remove parenthesis around (11 + 21x)
16 + 20x = 11 + 21x

Solve
16 + 20x = 11 + 21x

Add '-21x' to each side of the equation.
16 + 20x + -21x = 11 + 21x + -21x

Combine like terms: 20x + -21x = -1x
16 + -1x = 11 + 21x + -21x

Combine like terms: 21x + -21x = 0
16 + -1x = 11 + 0
16 + -1x = 11

Add '-16' to each side of the equation.
16 + -16 + -1x = 11 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 11 + -16
-1x = 11 + -16

Combine like terms: 11 + -16 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplify
x = 5
User Scott Davies
by
7.9k points