Addition of 3x: We have the equation -3x = 2x + 18. To solve for x, we need to get all the x terms on one side of the equation. We can do this by adding 3x to both sides of the equation to move the -3x term to the right. Calculation: -3x + 3x = 2x + 18 + 3xSimplify the equation: After adding 3x to both sides, we simplify the equation. Calculation: 0x = 5x + 18Subtract 18: Now, we have 0 = 5x + 18. To isolate x, we need to subtract 18 from both sides of the equation. Calculation: 0 - 18 = 5x + 18 - 18Simplify further: After subtracting 18 from both sides, we simplify the equation. Calculation: -18 = 5xDivide by 5: To solve for x, we divide both sides of the equation by 5. Calculation: (-18) / 5 = (5x) / 5Find x: After dividing by 5, we find the value of x. Calculation: x = -18 / 5

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- 3x = 2x + 18

Addition of $3x$ : We have the equation $-3x = 2x + 18$ . To solve for $x$ , we need to get all the $x$ terms on one side of the equation. We can do this by adding $3x$ to both sides of the equation to move the $-3x$ term to the right. $\newline$ Calculation: $-3x + 3x = 2x + 18 + 3x$
Simplify the equation: After adding $3x$ to both sides, we simplify the equation. $\newline$ Calculation: $0x = 5x + 18$
Subtract $18$ : Now, we have $0 = 5x + 18$ . To isolate $x$ , we need to subtract $18$ from both sides of the equation. $\newline$ Calculation: $0 - 18 = 5x + 18 - 18$
Simplify further: After subtracting $18$ from both sides, we simplify the equation. $\newline$ Calculation: $-18 = 5x$
Divide by $5$ : To solve for $x$ , we divide both sides of the equation by $5$ . $\newline$ Calculation: $(-18) / 5 = (5x) / 5$
Find $x$ : After dividing by $5$ , we find the value of $x$ . $\newline$ Calculation: $x = -\frac{18}{5}$