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Solve. Show your work.

1//4(12-8x)=4(-2x-6)

Solve. Show your work. $\newline$ $\frac{1}{4}(12-8 x)=4(-2 x-6)$

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve. Show your work.

\newline

\frac{1}{4}(12-8 x)=4(-2 x-6)

Simplify equation: Simplify both sides of the equation. $\newline$ $\frac{1}{4}(12 - 8x) = 4(-2x - 6)$ $\newline$ $= 3 - 2x = -8x - 24$
Add $8x$ : Add $8x$ to both sides to start isolating $x$ . $3 - 2x + 8x = -8x + 8x - 24$ $3 + 6x = -24$
Subtract $3$ : Subtract $3$ from both sides. $\newline$ $3 + 6x - 3 = -24 - 3$ $\newline$ $6x = -27$
Divide by $6$ : Divide both sides by $6$ to solve for $x$ . $\frac{6x}{6} = \frac{-27}{6}$ $x = -4.5$

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