$\"\"$

The equation is 3x + b = 2x + 5.

Apply subtraction property of equality: If a = b then a $\"\"$ c = b $\"\"$ c.

3x + b $\"\"$ 2x = 2x + 5 $\"\"$ 2x (Subtract 2x from each side)

Apply commutative property of addition: a + b = b + a.

3x $\"\"$ 2x + b = 2x $\"\"$ 2x + 5

3x $\"\"$ 2x + b = 5 (Apply additive inverse property: 2x $\"\"$ 2x = 0) $\"\"$

Combine like terms using distributive property: ab $\"\"$ bc = (a $\"\"$ b)c.

(3 $\"\"$ 2)x + b = 5

x + b = 5 (Subtract: 3 $\"\"$ 2 = 1)

Apply subtraction property of equality: If a = b then a $\"\"$ c = b $\"\"$ c.

x + b $\"\"$ b = 5 $\"\"$ b (Subtract b from each side)

x = 5 $\"\"$ b (Apply additive inverse property: b $\"\"$ b = 0) $\"\"$

The solution of x = 5 $\"\"$ b.