Question

-5(2x + 6) + 9x = -32
your answer
#12: solve the equation below.
3x - 5(x + 2) = -40
your answer

Explanation:

First Equation: \(-5(2x + 6) + 9x = -32\)

Step1: Distribute the -5

\(-5\times2x -5\times6 + 9x = -32\)
\(-10x - 30 + 9x = -32\)

Step2: Combine like terms

\((-10x + 9x) - 30 = -32\)
\(-x - 30 = -32\)

Step3: Add 30 to both sides

\(-x - 30 + 30 = -32 + 30\)
\(-x = -2\)

Step4: Multiply both sides by -1

\(x = 2\)

Second Equation: \(3x - 5(x + 2) = -40\)

Step1: Distribute the -5

\(3x -5\times x -5\times2 = -40\)
\(3x - 5x - 10 = -40\)

Step2: Combine like terms

\((3x - 5x) - 10 = -40\)
\(-2x - 10 = -40\)

Step3: Add 10 to both sides

\(-2x - 10 + 10 = -40 + 10\)
\(-2x = -30\)

Step4: Divide both sides by -2

\(x = \frac{-30}{-2}\)
\(x = 15\)

Answer:

For \(-5(2x + 6) + 9x = -32\), \(x = 2\).
For \(3x - 5(x + 2) = -40\), \(x = 15\).