Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$7 ( x + 4 ) + 5 = 7 x + 2$$
A) $\varnothing$
B) $\{ x \mid x$ is a real number $\}$
C) $\{ 11 \}$
D) $\{ 31 \}$

Question

Quizplus · Accepted Answer

Expanding and simplifying the equation $7(x + 4) + 5 = 7x + 2$ gives $7x + 28 + 5 = 7x + 2$, which simplifies to $7x + 33 = 7x + 2$. Subtracting $7x$ from both sides gives $33 = 2$, which is false. Therefore, the equation has no solution.

Solve the Equation 7(x+4)+5=7x+27 ( x + 4 ) + 5 = 7 x + 27(x+4)+5=7x+2

Solve the Equation $7 ( x + 4 ) + 5 = 7 x + 2$