Solve for x. Assume the equation has a solution for x. {:[19 x+rx=-37 x+w],[x=]:}

Combine like terms: Combine like terms on the left side of the equation. 19x + rx can be combined because they are like terms. (19 + r)x = -37x + wMove term involving x: Move the term involving x on the right side to the left side by adding 37x to both sides. (19 + r)x + 37x = w Combine the x terms. (19 + r + 37)x = w (56 + r)x = wCombine x terms: Isolate x by dividing both sides by the coefficient (56 + r). x = w / (56 + r) Check that (56 + r) is not equal to zero to avoid division by zero.

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Solve for
x.
Assume the equation has a solution for
x.

{:[19 x+rx=-37 x+w],[x=]:}

Solve for $x$ . $\newline$ Assume the equation has a solution for $x$ . $\newline$ $\begin{array}{l} 19 x+r x=-37 x+w \\ x=\square \end{array}$

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Math Problems

Algebra 1

Rearrange multi-variable equations

Full solution

Q. Solve for

x

\newline

Assume the equation has a solution for

x

\newline

\begin{array}{l} 19 x+r x=-37 x+w \\ x=\square \end{array}

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $19x + rx$ can be combined because they are like terms. $\newline$ $(19 + r)x = -37x + w$
Move term involving x: Move the term involving x on the right side to the left side by adding $37x$ to both sides. $\newline$ $(19 + r)x + 37x = w$ $\newline$ Combine the x terms. $\newline$ $(19 + r + 37)x = w$ $\newline$ $(56 + r)x = w$
Combine $x$ terms: Isolate $x$ by dividing both sides by the coefficient ( $56 + r$ ). $\newline$ $x = \frac{w}{56 + r}$ $\newline$ Check that $(56 + r)$ is not equal to zero to avoid division by zero.