Questions: Solve the following equation. -0.5(2x-5)=0.5(3-3x) If the equation is an identity then enter oo for infinity, or "All Real Numbers". x=

Solve the following equation.
-0.5(2x-5)=0.5(3-3x)

If the equation is an identity then enter oo for infinity, or "All Real Numbers".
x=

Transcript text: XYZ Homework xyzhomew (3.3) 2.3 Homework - Solving Linear Equations in One Variable Score: $4 / 25$ Answered: $4 / 25$ Question 5 Solve the following equation. \[ -0.5(2 x-5)=0.5(3-3 x) \] If the equation is an identity then enter oo for infinity, or "All Real Numbers". $x=$ $\square$ Submit Question

Solution

Solution Steps

Step 1: Distribute the constants

Distribute the constants on both sides of the equation: \[ -0.5(2a - 5) = 0.5(3 - 3a) \] \[ -1a + 2.5 = 1.5 - 1.5a \]

Step 2: Combine like terms

Move all terms involving \(a\) to one side and constants to the other side: \[ -1a + 1.5a = 1.5 - 2.5 \] \[ 0.5a = -1 \]

Step 3: Solve for \(a\)

Divide both sides by 0.5 to isolate \(a\): \[ a = \frac{-1}{0.5} \] \[ a = -2 \]

Final Answer

\[ a = -2 \]

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