Question

88+x=3(x+22)
Steps please. explain

Answer 1

x=11

Answer 2

88+x=3x+66 (expand using distributive law0
88-66=3x-x (bring like terms together)
22=2x
11=x

Answer 3

Steps using axioms of the real number field:

1) RHS distributive law
\[88 + x = 3x + 66\]
2) Existence of an additive inverse
\[88 + x + (-88) = 3x + 66 + (-88)\]
3) Commutative property of addition
\[88 + (-88) + x = 3x + 66 + (-88)\]\[x = 3x - 22\]
4) Existence of an additive inverse and commutative property of addition
\[x + (-3x) = 3x + (-3x) - 22\]\[x - 3x = - 22\]
5) Distributive property
\[(1 - 3)x = -22\]\[-2x = -22\]
6) Existence of a multiplicative inverse and commutative property of multiplication
\[-2x\cdot(-2^{-1}) = -22\cdot(-2^{-1})\]\[-2\cdot(-2^{-1})\cdot x = -22\cdot(-2^{-1})\]\[x = 11\]