Question

Solve the equation −1.2x+2.5=0.8x+6.5.
a) x=4
b) x=−4
c) x=5
d)x=−5

Answer 1

The provided equation, –-1.2x + 2.5 = 0.8x + 6.5, after combining like terms and performing algebraic operations, yields x = –-2. The correct solution is not listed in the provided multiple-choice options.

Step-by-step explanation:

To solve the equation -1.2x + 2.5 = 0.8x + 6.5, we aim to isolate the variable x on one side. First, we combine like terms by moving the x terms to one side and the constant terms to the other side. We begin by adding 1.2x to both sides of the equation: -1.2x + 1.2x + 2.5 = 0.8x + 1.2x + 6.5. 2.5 = 2.0x + 6.5.

Next, we subtract 6.5 from both sides of the equation to get: 2.5 - 6.5 = 2.0x. -4.0 = 2.0x. We now divide both sides by 2.0 to solve for x: x = -4.0 / 2.0. x = -2. Thus, the solution to the equation is x = -2, which is not one of the options provided in the question.

There must be an error either in the question's equation or its answer choices. The correct answer to the given equation -1.2x + 2.5 = 0.8x + 6.5 is x = -2.