Use the transposition method to solve given linear equation in one variable:3(3x - 2)/3 + (2x + 3)/3 = x + 7/6
Question
Use the transposition method to solve given linear equation in one variable:3(3x - 2)/3 + (2x + 3)/3 = x + 7/6
Solution
Sure, let's solve the equation step by step.
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Simplify the equation:
3(3x - 2)/3 + (2x + 3)/3 = x + 7/6
This simplifies to:
(3x - 2) + (2x + 3)/3 = x + 7/6
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Multiply through by 3 to get rid of the denominator:
3x - 2 + 2x + 3 = 3x + 7/2
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Simplify the equation:
5x + 1 = 3x + 7/2
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Subtract 3x from both sides:
2x + 1 = 7/2
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Subtract 1 from both sides:
2x = 7/2 - 2
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Simplify the right side:
2x = 3/2
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Divide both sides by 2:
x = 3/4
So, the solution to the equation is x = 3/4.
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