Question

solve the following linear equation and simplify your answer. \\(9x + 10 = 6x - 2\\) \\(\\) answer 2 points selecting an option will enable input for any required text boxes. if the selected option does not have any associated text boxes, then no further input is required. \\(\circ\\) one solution \\(x = \\) \\(\circ\\) no solution \\(\circ\\) all real numbers

Explanation:

Step1: Subtract \(6x\) from both sides

\(9x + 10 - 6x = 6x - 2 - 6x\)
\(3x + 10 = -2\)

Step2: Subtract 10 from both sides

\(3x + 10 - 10 = -2 - 10\)
\(3x = -12\)

Step3: Divide both sides by 3

\(\frac{3x}{3} = \frac{-12}{3}\)
\(x = -4\)

Answer:

One Solution, \(x = -4\)