Question

equation
3)(4x + 7) = 5(3x + 3)
explanation
write the equation.
reason
given
12x + 21 = 15x + 15
distributive property
-3x + 21 = 15
subtract 15x from each side.
subtraction property of equality
-3x = -6
subtraction property of equality
x = 2
division property of equality

options (left side):
x = 6
6x + 11 = 9
multiply on each side.
divide each side by 4.
subtract 21 from each side.
divide each side by -3.
subtract 11 from each side

Explanation:

Step1: Apply distributive property

$3(4x+7)=5(3x+3) \implies 12x+21=15x+15$

Step2: Subtract $15x$ from both sides

$12x+21-15x=15x+15-15x \implies -3x+21=15$

Step3: Subtract 21 from both sides

$-3x+21-21=15-21 \implies -3x=-6$

Step4: Divide by $-3$ on both sides

$\frac{-3x}{-3}=\frac{-6}{-3} \implies x=2$

Answer:

Equation	Explanation	Reason
$12x+21=15x+15$	Apply distributive property	Distributive Property
$-3x+21=15$	Subtract $15x$ from each side.	Subtraction Property of Equality
$-3x=-6$	Subtract 21 from each side.	Subtraction Property of Equality
$x=2$	Divide each side by $-3$.	Division Property of Equality

The final solution for the equation is $x=2$