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Solve. Show your work.


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

Solve. Show your work.\newline14(128x)=4(2x6) \frac{1}{4}(12-8 x)=4(-2 x-6)

Full solution

Q. Solve. Show your work.\newline14(128x)=4(2x6) \frac{1}{4}(12-8 x)=4(-2 x-6)
  1. Simplify equation: Simplify both sides of the equation.\newline14(128x)=4(2x6)\frac{1}{4}(12 - 8x) = 4(-2x - 6)\newline=32x=8x24= 3 - 2x = -8x - 24
  2. Add 8x8x: Add 8x8x to both sides to start isolating xx.32x+8x=8x+8x243 - 2x + 8x = -8x + 8x - 243+6x=243 + 6x = -24
  3. Subtract 33: Subtract 33 from both sides.\newline3+6x3=2433 + 6x - 3 = -24 - 3\newline6x=276x = -27
  4. Divide by 66: Divide both sides by 66 to solve for xx.6x6=276\frac{6x}{6} = \frac{-27}{6}x=4.5x = -4.5