What is the solution set of the equation x + 6 = 2(x + 3) - x ?
Question
What is the solution set of the equation x + 6 = 2(x + 3) - x ?
Solution
Step 1: Simplify the equation on both sides. The equation is x + 6 = 2(x + 3) - x.
Step 2: Distribute the 2 on the right side of the equation. This gives us x + 6 = 2x + 6 - x.
Step 3: Simplify the right side of the equation by combining like terms. This gives us x + 6 = x + 6.
Step 4: Subtract x from both sides of the equation to isolate the variable. This gives us 6 = 6.
Step 5: Since the equation is true for all values of x, the solution set of the equation x + 6 = 2(x + 3) - x is all real numbers.
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