Questions: -20 = -4x - 6x

Transcript text: $-20=-4 x-6 x$

Solution

Solution Steps

Step 1: Combine Like Terms

Given the equation: \[ -20 = -4x - 6x \] Combine the like terms on the right-hand side: \[ -4x - 6x = -10x \] So the equation simplifies to: \[ -20 = -10x \]

Step 2: Isolate the Variable

To isolate $ x $, divide both sides of the equation by $-10$: \[ x = \frac{-20}{-10} \] Simplifying the right-hand side: \[ x = 2.0 \]

Step 3: Verify the Solution

Substitute $ x = 2.0 $ back into the original equation to verify: \[ -4(2.0) - 6(2.0) = -8.0 - 12.0 = -20.0 \] The left-hand side equals the right-hand side, confirming the solution is correct.

Final Answer

\[ \boxed{x = 2.0} \]

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