MHB Solving x Equation: Get Expert Help from Casio

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To solve the equations 2/3x - 3 = -x + 2 and 2/3x = -x + 5, it's important to correctly add x to the left-hand side (LHS). The correct approach is to express x as 3/3x to maintain consistent coefficients. Alternatively, multiplying each term by three can simplify the process by eliminating fractions. This method can make the equation easier to manage and solve. Clear steps and careful manipulation of coefficients are crucial for finding the solution.
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I have not experienced this one before and would appreciate a little help.

2/3x - 3 = - x + 2
2/3x = - x + 5

Now how do I add x to the LHS, is it;

2/4x or 3/3x or am I completely off the mark?

Kind regards

Casio
 
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Casio said:
I have not experienced this one before and would appreciate a little help.

$\frac{2}{3}x - 3 = -x + 2$
$\frac{2}{3}x = -x + 5$

Now how do I add x to the LHS, is it;

$\frac{2}{4}x$ or $\frac{3}{3}x$ or am I completely off the mark?Kind regards

Casio

If you want to add $x$ to the LHS then the coefficient (number infront of x) must be 1. For fractions this means the top and the bottom must be the same value. $\frac{3x}{3}$ is a good choice in this case.

You may find it easier to multiply each term by three as your first step to clear the fraction altogether.
 
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