Question

1. solve $-2.7x + 3.5 = 1.3x + 11.5$.\

$x = \underline{\quad\quad\quad\quad\quad\quad\quad\quad}$\

1. solve $-2(4x + 6) + 4 = 2(5x - 9) - 8x$\

$x = \underline{\quad\quad\quad\quad\quad\quad\quad\quad}$

Explanation:

Problem 2:

Step1: Move variable terms to left

Add \(2.7x\) to both sides:
\(-2.7x + 3.5 + 2.7x = 1.3x + 11.5 + 2.7x\)
Simplify: \(3.5 = 4x + 11.5\)

Step2: Solve for \(x\)

Subtract \(11.5\) from both sides:
\(3.5 - 11.5 = 4x\)
\(-8 = 4x\)

Divide by \(4\):
\(x = \frac{-8}{4} = -2\)

Step1: Expand both sides

Left: \(-2(4x + 6) + 4 = -8x - 12 + 4 = -8x - 8\)
Right: \(2(5x - 9) - 8x = 10x - 18 - 8x = 2x - 18\)

Equation becomes: \(-8x - 8 = 2x - 18\)

Step2: Move variable terms to left

Add \(8x\) to both sides:
\(-8x - 8 + 8x = 2x - 18 + 8x\)
Simplify: \(-8 = 10x - 18\)

Step3: Solve for \(x\)

Add \(18\) to both sides:
\(-8 + 18 = 10x\)
\(10 = 10x\)

Divide by \(10\):
\(x = \frac{10}{10} = 1\)

Answer:

\(x = -2\)

Problem 3: