Trish made an error in her calculations when she attempted to manipulate the equation. Let's walk through her steps and identify the mistake:
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Starting with the original equation: \[ x + 10 = 8 \]
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She added 10 to both sides: \[ x + 10 + 10 = 8 + 10 \] Simplifying this gives: \[ x + 20 = 18 \]
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Trish claims that \( x = 18 \), but this is incorrect. The correct next step would be to isolate \( x \) as follows: \[ x + 20 - 20 = 18 - 20 \] Simplifying further: \[ x = -2 \]
Instead, Trish incorrectly proceeded to multiply both sides by 2: 4. \( (2)x = (2)18 \) which means \( 2x = 36 \).
- This step is an incorrect transformation of the equation.
The correct value of \( x \) is: \[ x = -2 \]
1 answer