Solve for x: 7x-3=9x-21

Isolate x: Isolate the variable x on one side of the equation. To do this, we can subtract 7x from both sides of the equation to get the x terms on one side. 7x - 3 - 7x = 9x - 21 - 7x This simplifies to: -3 = 2x - 21Add 21: Add 21 to both sides of the equation to isolate the term with x. -3 + 21 = 2x - 21 + 21 This simplifies to: 18 = 2xDivide by 2: Divide both sides of the equation by 2 to solve for x. 18 / 2 = 2x / 2 This simplifies to: 9 = x

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Math Problems

Grade 8

Create equations with no solutions or infinitely many solutions

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Q. Solve for

x

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7x-3=9x-21

Isolate $x$ : Isolate the variable $x$ on one side of the equation. $\newline$ To do this, we can subtract $7x$ from both sides of the equation to get the $x$ terms on one side. $\newline$ $7x - 3 - 7x = 9x - 21 - 7x$ $\newline$ This simplifies to: $\newline$ $-3 = 2x - 21$
Add $21$ : Add $21$ to both sides of the equation to isolate the term with $x$ . $\newline$ $-3 + 21 = 2x - 21 + 21$ $\newline$ This simplifies to: $\newline$ $18 = 2x$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $x$ . $\frac{18}{2} = \frac{2x}{2}$ This simplifies to: $9 = x$