Question
Solve the equation
x=38
Alternative Form
x=2.6˙
Evaluate
45x−x+33=x−1
Simplify
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Evaluate
45x−x+33
Divide the terms
45x−x+1
Subtract the terms
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Evaluate
45x−x
Collect like terms by calculating the sum or difference of their coefficients
(45−1)x
Subtract the numbers
41x
41x+1
41x+1=x−1
Multiply both sides of the equation by LCM
(41x+1)×4=(x−1)×4
Calculate
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Evaluate
(41x+1)×4
Apply the distributive property
41x×4+1×4
Multiply the numbers
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Evaluate
41×4
Reduce the numbers
1×1
Simplify
1
x+1×4
Any expression multiplied by 1 remains the same
x+4
x+4=(x−1)×4
Calculate
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Evaluate
(x−1)×4
Apply the distributive property
x×4−4
Use the commutative property to reorder the terms
4x−4
x+4=4x−4
Move the expression to the left side
x+4−4x=−4
Move the expression to the right side
x−4x=−4−4
Add and subtract
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Evaluate
x−4x
Collect like terms by calculating the sum or difference of their coefficients
(1−4)x
Subtract the numbers
−3x
−3x=−4−4
Add and subtract
−3x=−8
Change the signs on both sides of the equation
3x=8
Divide both sides
33x=38
Solution
x=38
Alternative Form
x=2.6˙
Show Solution

Rewrite the equation
3x=8
Evaluate
45x−x+33=x−1
Evaluate
More Steps

Evaluate
45x−x+33
Divide the terms
45x−x+1
Subtract the terms
More Steps

Evaluate
45x−x
Collect like terms by calculating the sum or difference of their coefficients
(45−1)x
Subtract the numbers
41x
41x+1
41x+1=x−1
Multiply both sides of the equation by LCD
x+4=4x−4
Move the variable to the left side
−3x+4=−4
Move the constant to the right side
−3x=−8
Solution
3x=8
Show Solution
