Solve the equation. Use words or set notation to identify equations that have no solution, or equations that are true for all
real numbers.
-$$3 ( 4 x + 2 ) + 46 = 5 x - 4$$
A) $\{ x \mid x$ is a real number $\}$
B) $\{ 8 \}$
C) $\{ - 8 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

Simplifying the equation: $3(4x + 2) + 46 = 5x - 4$ becomes $12x + 6 + 46 = 5x - 4$. Simplifying further, $12x + 52 = 5x - 4$. Subtracting $5x$ from both sides gives $7x + 52 = -4$. Subtracting 52 from both sides gives $7x = -56$. Dividing by 7 gives $x = -8$.

Solve the Equation 3(4x+2)+46=5x−43 ( 4 x + 2 ) + 46 = 5 x - 43(4x+2)+46=5x−4

Solve the Equation $3 ( 4 x + 2 ) + 46 = 5 x - 4$