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Solve the following equation for x. Express your answer in the simplest form. 5(4x+6)=20 x+30

Solve the following equation for x x . Express your answer in the simplest form.\newline5(4x+6)=20x+30 5(4 x+6)=20 x+30 \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline5(4x+6)=20x+30 5(4 x+6)=20 x+30 \newline
  1. Distribute 55 to terms: First, we need to distribute the 55 on the left side of the equation to both terms inside the parentheses.5(4x)+5(6)=20x+305(4x) + 5(6) = 20x + 3020x+30=20x+3020x + 30 = 20x + 30
  2. Identify same terms: Now, we observe that both sides of the equation have the same terms: 20x+3020x + 30. This suggests that the equation is true for all values of xx, indicating that xx can be any real number.
  3. Solution for all xx: Since the equation simplifies to an identity, where both sides are equal for all xx, we do not have a unique solution for xx. Instead, the solution is all real numbers.

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