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Solve for x and write your answer in simplest form. 2(-2x-(4)/(5))-(2)/(5)=-(-10 x-1)+7 Answer: x=

Solve for x x and write your answer in simplest form.\newline2(−2x−45)−25=−(−10x−1)+7 2\left(-2 x-\frac{4}{5}\right)-\frac{2}{5}=-(-10 x-1)+7 \newlineAnswer: x= x=

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Q. Solve for x x and write your answer in simplest form.\newline2(−2x−45)−25=−(−10x−1)+7 2\left(-2 x-\frac{4}{5}\right)-\frac{2}{5}=-(-10 x-1)+7 \newlineAnswer: x= x=
  1. Distribute 22: First, let's distribute the 22 into the parentheses on the left side of the equation.2×−2x=−4x2 \times -2x = -4x2×−(45)=−852 \times -\left(\frac{4}{5}\right) = -\frac{8}{5}So the left side of the equation becomes −4x−85-4x - \frac{8}{5}.
  2. Distribute negative: Now let's distribute the negative sign on the right side of the equation.\newline−(−10x)=10x-(-10x) = 10x\newline−(−1)=1-(-1) = 1\newlineSo the right side of the equation becomes 10x+1+710x + 1 + 7.
  3. Combine like terms: Next, let's combine like terms on the right side.\newline1+7=81 + 7 = 8\newlineSo the right side of the equation now is 10x+810x + 8.
  4. Simplify equation: Now we have the simplified equation: −4x−85=10x+8-4x - \frac{8}{5} = 10x + 8
  5. Isolate x terms: Next, let's get all the x terms on one side and the constants on the other side. We'll add 4x4x to both sides and subtract 88 from both sides.\newline−4x+4x−85=10x+4x+8−8-4x + 4x - \frac{8}{5} = 10x + 4x + 8 - 8\newlineThis simplifies to:\newline−85=14x-\frac{8}{5} = 14x
  6. Solve for x: Now we need to solve for x by dividing both sides by 1414.x=−85/14x = \frac{-8}{5} / 14
  7. Multiply fractions: To divide the fraction by 1414, we can multiply by the reciprocal of 1414, which is 114\frac{1}{14}. \newlinex=(−85)×(114)x = \left(-\frac{8}{5}\right) \times \left(\frac{1}{14}\right)
  8. Simplify fraction: Now we multiply the numerators and the denominators.\newlinex=(−8×1)/(5×14)x = (-8 \times 1) / (5 \times 14)\newlinex=−8/70x = -8 / 70
  9. Simplify fraction: Now we multiply the numerators and the denominators.\newlinex=(−8×1)/(5×14)x = (-8 \times 1) / (5 \times 14)\newlinex=−8/70x = -8 / 70Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newlinex=(−8/2)/(70/2)x = (-8 / 2) / (70 / 2)\newlinex=−4/35x = -4 / 35

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