Bot GPT 4-o mini To solve for \( x \) in the equation \( 0.2 + 0.4x - 0.3(x - 10) = 0.3x - 4 \), we'll start by simplifying the left-hand side of the equation.
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Distribute \( -0.3 \) into \( (x - 10) \): \[ -0.3(x - 10) = -0.3x + 3 \]
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Substitute back into the equation: \[ 0.2 + 0.4x - 0.3x + 3 = 0.3x - 4 \]
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Combine like terms on the left side: \[ 0.2 + 3 + (0.4x - 0.3x) = 0.3x - 4 \] \[ 3.2 + 0.1x = 0.3x - 4 \]
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Rearrange the equation to isolate \( x \): \[ 3.2 + 4 = 0.3x - 0.1x \] \[ 7.2 = 0.2x \]
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Divide both sides by \( 0.2 \): \[ x = \frac{7.2}{0.2} = 36 \]
Thus, the value of \( x \) is \( \boxed{36} \).
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