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Solve for x : -(-4x-6.6)+7=-9.4 Answer: x=

Solve for x x :\newline−(−4x−6.6)+7=−9.4 -(-4 x-6.6)+7=-9.4 \newlineAnswer: x= x=

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Q. Solve for x x :\newline−(−4x−6.6)+7=−9.4 -(-4 x-6.6)+7=-9.4 \newlineAnswer: x= x=
  1. Distribute negative sign: First, we need to simplify the left side of the equation by distributing the negative sign inside the parentheses.\newline−(−4x−6.6)-(-4x-6.6) becomes +4x+6.6+4x+6.6 (since −(−a)=+a-(-a) = +a for any aa).\newlineSo the equation now is 4x+6.6+7=−9.44x + 6.6 + 7 = -9.4.
  2. Combine like terms: Next, we combine the like terms on the left side of the equation, which are the constant terms 6.66.6 and 77. \newline6.6+7=13.66.6 + 7 = 13.6. \newlineNow the equation is 4x+13.6=−9.44x + 13.6 = -9.4.
  3. Subtract 1313.66: To isolate the variable xx, we need to subtract 13.613.6 from both sides of the equation.\newlineSubtracting 13.613.6 from both sides gives us 4x=−9.4−13.64x = -9.4 - 13.6.
  4. Perform subtraction: Now we perform the subtraction on the right side of the equation.\newline−9.4−13.6=−23-9.4 - 13.6 = -23.\newlineSo the equation is now 4x=−234x = -23.
  5. Divide by 44: To solve for xx, we need to divide both sides of the equation by 44. Dividing by 44 gives us x=−234x = -\frac{23}{4}.
  6. Simplify fraction: Finally, we simplify the fraction −234-\frac{23}{4} if possible.\newlineHowever, −234-\frac{23}{4} is already in simplest form, so x=−234x = -\frac{23}{4}.

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