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Solve for $x$ . $\newline$ $2 - x = 2(3 - \frac{1}{4}x)$ $\newline$ $x =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

x

.

\newline

2 - x = 2(3 - \frac{1}{4}x)

\newline

x =

__

Distribute $2$ : Distribute the $2$ on the right side of the equation. $\newline$ Calculation: $2 - x = 2 \times 3 - 2 \times \left(\frac{1}{4}x\right)$ $\newline$ = $6 - \frac{1}{2}x$
Move terms: Move all $x$ terms to one side and constant terms to the other side. $\newline$ Calculation: -x + \frac{1}{2}x = 6 - 2\(\newline = -\frac{1}{2}x = 4\)
Solve for x: Solve for x by isolating x. $\newline$ Calculation: Multiply both sides by $-2$ to clear the fraction. $\newline$ $-2 \times \left(-\frac{1}{2}x\right) = -2 \times 4$ $\newline$ $x = -8$

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