Question

which equation can be used to solve for x?
30x + 5 = 67
30x - 5 = 67
7x + 18 = 67
7x + 28 = 67

Explanation:

Step1: Observe angle - sum relationship

The sum of the two non - overlapping angles with measures \(23^{\circ}\) and \((7x - 5)^{\circ}\) is equal to the larger angle with measure \(67^{\circ}\).
So, \(23+(7x - 5)=67\).

Step2: Simplify the left - hand side

First, combine like terms in the expression \(23+(7x - 5)\).
\(23+7x-5=7x+(23 - 5)=7x + 18\).
So the equation becomes \(7x + 18=67\).

Answer:

\(7x + 18 = 67\)