$\"\"$ $\"\"$

The equation is 2(3 + x) = 14.

2(3) + 2(x) = 14 (Distributive property: a(b + c) = ab + ac)

6 + 2x = 14 (Multiply: $\"\"$ )

Apply subtraction property of equality: Subtract 6 from each side.

$\"\"$

$\"\"$ (Commutative property: a + b = b + a)

$\"\"$ (Additive inverse property: $\"\"$ )

$\"\"$ (Subtract: $\"\"$ )

$\"\"$ (Divide each side by 2)

$\"\"$ (Cancel common terms)

$\"\"$ (Divide: $\"\"$ ) $\"\"$

Check:

To check, substitute x = 4 in 2(3 + x) = 14.

2(3 + 4) = 14 2(7) = 14 (Add: 3 + 4 = 7)

14 = 14 (Multipliy: $\"\"$ ) $\"\"$

The solution is $\"\"$ .