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Solve for xx: 6(x2)8=4(x5)6(x-2)-8=-4(x-5)

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Q. Solve for xx: 6(x2)8=4(x5)6(x-2)-8=-4(x-5)
  1. Distribute 4-4: Now, distribute 4-4 into the terms inside the parentheses on the right side of the equation.\newline-4(x-5) = -4\times x + 4\times 5\(\newline= -4x + 20\)
  2. Simplified form of equation: Next, we have the simplified form of the equation:\newline6x20=4x+206x - 20 = -4x + 20\newlineNow, we will add 4x4x to both sides of the equation to get all the xx terms on one side.\newline6x20+4x=4x+20+4x6x - 20 + 4x = -4x + 20 + 4x\newline10x20=2010x - 20 = 20
  3. Add 4x4x to both sides: Then, we will add 2020 to both sides of the equation to isolate the term with xx.\newline10x20+20=20+2010x - 20 + 20 = 20 + 20\newline10x=4010x = 40
  4. Add 2020 to both sides: Finally, we will divide both sides of the equation by 1010 to solve for xx.10x10=4010\frac{10x}{10} = \frac{40}{10}x=4x = 4

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