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Solve the following equation for
x. Express your answer in the simplest form.

x+7-4=(1)/(2)(2x-4)+6

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $x+7-4=\frac{1}{2}(2 x-4)+6$ $\newline$

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Evaluate variable expressions involving rational numbers

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

x+7-4=\frac{1}{2}(2 x-4)+6

\newline

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $x + 7 - 4$ becomes $x + 3$ . $\newline$ So, $x + 3 = (\frac{1}{2})(2x - 4) + 6$ .
Distribute the $(1/2)$ : Distribute the $(1/2)$ on the right side of the equation. $(1/2)(2x) - (1/2)(4)$ becomes $x - 2$ . So, $x + 3 = x - 2 + 6$ .
Combine like terms: Combine like terms on the right side of the equation. $\newline$ $x - 2 + 6$ becomes $x + 4$ . $\newline$ So, $x + 3 = x + 4$ .
Subtract $x$ : Subtract $x$ from both sides to get the $x$ terms on one side. $\newline$ $x + 3 - x = x + 4 - x$ . $\newline$ This simplifies to $3 = 4$ .

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