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Solve the equation $3x-5=25-2x$

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Solve equations involving like terms

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Q. Solve the equation

3x-5=25-2x

Combine Like Terms: Combine like terms by moving the variable terms to one side of the equation and the constant terms to the other side. $\newline$ To do this, add $2x$ to both sides of the equation to move the $x$ terms to the left side and add $5$ to both sides to move the constant terms to the right side. $\newline$ $3x - 5 + 2x + 5 = 25 - 2x + 2x + 5$ $\newline$ This simplifies to: $\newline$ $3x + 2x = 25 + 5$
Combine Terms: Combine the like terms on both sides of the equation. $\newline$ On the left side, combine $3x$ and $2x$ . $\newline$ On the right side, combine $25$ and $5$ . $\newline$ $5x = 30$
Solve for x: Solve for x by dividing both sides of the equation by the coefficient of $x$ , which is $5$ . $\frac{5x}{5} = \frac{30}{5}$ This simplifies to: $x = 6$

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