Let's solve this equation step-by-step!
Brief explanation: To solve for x, we need to simplify both sides of the equation by distributing, combining like terms, and then isolating x.
Step-by-step solution:
- Step 1: Distribute the -6 on the left side and the negative sign on the right side.
\( -6 \cdot 1.5x - 6 \cdot 3 - 123 = -13 + 7x \)
\( -9x - 18 - 123 = -13 + 7x \) - Step 2: Combine the constant terms on the left side.
\( -9x - 141 = -13 + 7x \) - Step 3: Move all terms with x to one side and constant terms to the other. Let's add 9x to both sides and add 13 to both sides.
\( -141 + 13 = 7x + 9x \)
\( -128 = 16x \) - Step 4: Isolate x by dividing both sides by 16.
\( x = \frac{-128}{16} \)
\( x = -8 \)
Answer: -8