Questions: Solve the following equation. Check your solution. 2(2x-10)=4(x-5) Choose the correct answer below. A. 0 B. no solution C. 1 D. all real numbers

Solve the following equation. Check your solution. 2(2x-10)=4(x-5) Choose the correct answer below. A. 0 B. no solution C. 1 D. all real numbers
Transcript text: ENT_TEST_0030 Sammy Loretta 01/16/25 12:47 PM Itermediate Algebra Test Question 23 of 40 This test: 40 point(s) possible This question: 1 point(s) possible Submit test Solve the following equation. Check your solution. \[ 2(2 x-10)=4(x-5) \] Choose the correct answer below. A. 0 B. no solution C. 1 D. all real numbers
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Solution

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Solve the equation \( 2(2x - 10) = 4(x - 5) \) and check the solution.

Expand both sides of the equation.

Left side: \( 2(2x - 10) = 4x - 20 \).
Right side: \( 4(x - 5) = 4x - 20 \).
The equation becomes \( 4x - 20 = 4x - 20 \).

The equation simplifies to \( 4x - 20 = 4x - 20 \), which is always true. This means the equation holds for all real numbers.
\(\boxed{\text{D. all real numbers}}\)

The solution to the equation is \(\boxed{\text{D. all real numbers}}\).

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