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Solve the equation. Check your solution.\newline4x−8+2x=−324x-8+2x=-32\newlineThe solution set is (Simplify your answer.)

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Full solution

Q. Solve the equation. Check your solution.\newline4x−8+2x=−324x-8+2x=-32\newlineThe solution set is (Simplify your answer.)
  1. Combine like terms: Combine like terms on the left side of the equation.\newline4x+2x−8=−324x + 2x - 8 = -32\newline6x−8=−326x - 8 = -32
  2. Add 88 to isolate: Add 88 to both sides of the equation to isolate the term with the variable.\newline6x−8+8=−32+86x - 8 + 8 = -32 + 8\newline6x=−246x = -24
  3. Divide by 66: Divide both sides of the equation by 66 to solve for xx.6x6=−246\frac{6x}{6} = \frac{-24}{6}x=−4x = -4
  4. Check solution: Check the solution by substituting x=−4x = -4 back into the original equation.4(−4)−8+2(−4)=−324(-4) - 8 + 2(-4) = -32−16−8−8=−32-16 - 8 - 8 = -32−32=−32-32 = -32The solution checks out.

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