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Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process.
Charlie solved a similar equation below. Is Charlie's solution correct? Explain why or why not.
4x − 3 = 2(x − 1)
4x − 3 = 2x + 2
2x − 3 = 2
2x = 6
x = 3 (10 points)
2(3x-4) = 5x+6 First, expand the bracket. 6x-8=5x+6 Next, move the variables to the same side. x-8=6 Move the -8 to the other side, change to + x=6+8 x=14 Charlie’s solution is incorrect. When expanding the bracket, he changed the - to a +.
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