Questions: -3x + 4 = 3vw, for x

Transcript text: $-3 x+4=3 v w$, for $x$

Solution

Solution Steps

To solve for $ x $ in the equation $ -3x + 4 = 3vw $, we need to isolate $ x $ on one side of the equation. This involves moving the constant term to the other side and then dividing by the coefficient of $ x $.

Step 1: Move the constant term to the other side

Starting with the equation: \[ -3x + 4 = 3vw \]

Subtract 4 from both sides to isolate the term with $ x $: \[ -3x = 3vw - 4 \]

Step 2: Divide by the coefficient of $ x $

Divide both sides by $-3$ to solve for $ x $: \[ x = \frac{3vw - 4}{-3} \]

Step 3: Simplify the expression

Simplify the right-hand side: \[ x = -vw + \frac{4}{3} \]

Final Answer

$\boxed{x = \frac{4 - 3vw}{3}}$

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