Solve for X:
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Solve for X:
Let's solve the given equation step by step:
Step 1: Simplify both sides of the equation.
On the left-hand side, combine like terms:
Step 2: Simplify the right-hand side:
(no combining needed here).
Now the equation is:
Step 3: Move all -terms to one side and constant terms to the other side.
Add to both sides:
Step 4: Move the constant term on the left to the right side by adding 8.14:
Step 5: Solve for by dividing both sides by 16.55:
Therefore, the solution to the equation is .
Solve for X:
\( x - 3 + 5 = 8 - 2 \)
Combining like terms first makes the equation simpler to work with. If you skip this step, you'll have more terms to track and higher chance of making errors!
Add to both sides to get all x-terms on the left. This gives you on one side and just numbers on the other.
Substitute back into the original equation: should equal . Both sides should give you the same value!
That's normal with decimal coefficients! Round to a reasonable number of decimal places (usually 2-3) and always check your work by substituting back.
You can multiply everything by 100 to eliminate decimals first, but be careful with the arithmetic. The standard method of combining terms then collecting variables is usually more reliable.
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