Question

What is the solution to the equation?

4(3 + 7) = 4 · x + 4 · 7



A.


x = 3


B.


x = 4


C.


x = 7


D.


x = 10

Answer 1

Any ideas?

Answer 2

No

Answer 3

Use the idea of balance and multiply both sides of the equation by 1/4

Answer 4

$$\Huge 4(3 + 7) = 4 · x + 4 · 7$$ $$\Huge \frac{1}{4}4(3 + 7) = \frac{1}{4}[4 · x + 4 · 7]$$ $$\Huge \frac{1}{\cancel{4}}\cancel{4}(3 + 7) = \frac{1}{\cancel{4}}[\cancel{4} · x + \cancel{4} · 7]$$ $$\Huge 3 + 7= x + 7$$

Answer 5

Thanks