To solve the equation \( 28 = 5x + 4 - 2x \), we start by simplifying the right side.
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Combine like terms on the right: \[ 5x - 2x = 3x \] So, the equation becomes: \[ 28 = 3x + 4 \]
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Next, isolate the term with \( x \) by subtracting 4 from both sides: \[ 28 - 4 = 3x \] \[ 24 = 3x \]
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Now, divide both sides by 3 to solve for \( x \): \[ x = \frac{24}{3} = 8 \]
Now, let's check if \( x = 8 \) satisfies the original equation.
Substituting \( x = 8 \) in the equation: \[ 28 \stackrel{?}{=} 5(8) + 4 - 2(8) \] Calculating the right side: \[ 5(8) = 40 \] \[ 2(8) = 16 \] Now substituting those values back into the equation: \[ 28 = 40 + 4 - 16 \] Simplifying the right side: \[ 28 = 40 + 4 - 16 = 40 - 16 + 4 = 28 \]
Since both sides are equal, the solution is verified.
Thus, the final answer is: \[ \boxed{8} \]