Solving a Literal Equation
olve for $x$ in this equation: $a-b x=c x+d$
Step 1: Subtract from both sides of the equation.
Step 2: Subtract from both sides of the equation.
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Explanation:
To solve the literal equation $a-bx=cx+d$ for $x$, you can follow these steps:
Step 1: Subtract $cx$ from both sides of the equation to isolate the terms with $x$ on one side:
$a-bx-cx=d$
Step 2: Combine like terms on the right side of the equation:
$a-(b+c)x=d$
Now, the equation is in the form $A-Bx=C$, where $A=a$, $B=b+c$, and $C=d$. To solve for $x$, you can divide both sides of the equation by $B$: