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What is the solution to the equation \[3x - 6 = - 2x + 9\]?

seo-qna
Last updated date: 26th Feb 2024
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IVSAT 2024
Answer
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Hint: In this question, we have to simplify the given expression and find out the value of x. The given equation is a linear equation in one variable. So, First we need to move the terms with x in the left hand side and the constant terms in the right hand side. By simplifying this we will get the required solution.

Complete step-by-step solution:
It is given that the expression is \[3x - 6 = - 2x + 9\].
We need to simplify the expression \[3x - 6 = - 2x + 9\] and find out the value of x.
To simplify the given equation, we need to move the terms involved in x in the left hand side and the constant term in the right hand side.
Following the above we get,
\[3x - 6 = - 2x + 9\]
\[\Rightarrow 3x + 2x = 6 + 9\]
On simplifying we get,
\[5x = 15\]
\[\Rightarrow x = \dfrac{{15}}{5}\]
\[\Rightarrow x = 3\]
Therefore, we get, the value of x is \[3\].
Hence, \[x = 3\] is the required solution of the given expression.

Note:
In mathematics, a basic algebraic operation is any one of the common operations of arithmetic, which include addition, subtraction, and multiplication, division, raising to an integer power, and taking roots (fractional power).
To simplify algebraic expressions we will consider highest power first then less the powers accordingly and end it with the constant term.
“Operations” mean things like add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.
You need to always follow the BODMAS rule. Calculate them in the wrong order, and you can get a wrong answer.