Solve for x. Assume the equation has a solution for x. {:[a*(5-x)=bx-8],[x=◻+∓-x]:}

Identify the system: Identify the given system of equations. We have the system: a*(5-x) = bx - 8 x = ◻ + ∓ -xSimplify the first equation: Simplify the first equation by distributing a. a*5 - a*x = bx - 8 5a - ax = bx - 8Move terms involving x: Move all terms involving x to one side of the equation. 5a - ax - bx = -8 Combine like terms. 5a - (a + b)x = -8Combine like terms: Isolate x by dividing both sides by -(a + b). x = -8 / -(a + b) Simplify the division. x = 8 / (a + b)Isolate x: The second equation x = ◻ + ∓ -x does not make sense as written. It seems to be an error or a misinterpretation of the problem. We cannot proceed with this equation.

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

{:[a*(5-x)=bx-8],[x=◻+∓-x]:}

Solve for $x$ . $\newline$ Assume the equation has a solution for $x$ . $\newline$ $\begin{array}{l} a \cdot(5-x)=b x-8 \\ x=\square \end{array}$

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Math Problems

Algebra 1

Rearrange multi-variable equations

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Q. Solve for

x

\newline

Assume the equation has a solution for

x

\newline

\begin{array}{l} a \cdot(5-x)=b x-8 \\ x=\square \end{array}

Identify the system: Identify the given system of equations. $\newline$ We have the system: $\newline$ $a\cdot(5-x) = bx - 8$ $\newline$ $x = \square \pm \sqrt{-x}$
Simplify the first equation: Simplify the first equation by distributing $a$ . $a \cdot 5 - a \cdot x = bx - 8$ $5a - ax = bx - 8$
Move terms involving $x$ : Move all terms involving $x$ to one side of the equation. $\newline$ $5$ a - ax - bx = $-8$ $\newline$ Combine like terms. $\newline$ $5$ a - (a + b)x = $-8$
Combine like terms: Isolate $x$ by dividing both sides by $- (a + b)$ . $\newline$ $x = \frac{-8}{-(a + b)}$ $\newline$ Simplify the division. $\newline$ $x = \frac{8}{(a + b)}$
Isolate $x$ : The second equation $x = \square \pm \mp -x$ does not make sense as written. It seems to be an error or a misinterpretation of the problem. We cannot proceed with this equation.