Solve for x. 3x+5y=17-4x

Isolate x: Isolate the variable x on one side of the equation. To do this, we will add 4x to both sides of the equation to move the x terms to the left side. 3x + 5y + 4x = 17 - 4x + 4xCombine like terms: Combine like terms on both sides of the equation. 3x + 4x + 5y = 17 7x + 5y = 17Move 5y term: Since we are solving for x, we need to isolate x completely. This means we need to move the 5y term to the other side of the equation. However, since 5y is not subtracted or added to x, we can leave it as is because it does not affect the value of x. 7x = 17 - 5yDivide by 7: Divide both sides of the equation by 7 to solve for x. x = (17 - 5y) / 7

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Solve for $x$ . $\newline$ $3x+5y=17-4x$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

x

\newline

3x+5y=17-4x

Isolate $x$ : Isolate the variable $x$ on one side of the equation. $\newline$ To do this, we will add $4x$ to both sides of the equation to move the $x$ terms to the left side. $\newline$ $3x + 5y + 4x = 17 - 4x + 4x$
Combine like terms: Combine like terms on both sides of the equation. $\newline$ $3x + 4x + 5y = 17$ $\newline$ $7x + 5y = 17$
Move $5y$ term: Since we are solving for $x$ , we need to isolate $x$ completely. This means we need to move the $5y$ term to the other side of the equation. However, since $5y$ is not subtracted or added to $x$ , we can leave it as is because it does not affect the value of $x$ . $\newline$ $7x = 17 - 5y$
Divide by $7$ : Divide both sides of the equation by $7$ to solve for $x$ . $x = \frac{17 - 5y}{7}$