Question
Solve the equation
x=233
Alternative Form
x=16.5
Evaluate
x−1+x+2x−5+2x−4+2x−3+2x−2−150=0
Calculate the sum or difference
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Evaluate
x−1+x+2x−5+2x−4+2x−3+2x−2−150
Add the terms
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Evaluate
x+x+2x+2x+2x+2x
Collect like terms by calculating the sum or difference of their coefficients
(1+1+2+2+2+2)x
Add the numbers
10x
10x−1−5−4−3−2−150
Subtract the numbers
10x−165
10x−165=0
Move the constant to the right-hand side and change its sign
10x=0+165
Removing 0 doesn't change the value,so remove it from the expression
10x=165
Divide both sides
1010x=10165
Divide the numbers
x=10165
Solution
x=233
Alternative Form
x=16.5
Show Solution

Rewrite the equation
2x=33
Evaluate
x−1+x+2x−5+2x−4+2x−3+2x−2−150=0
Evaluate
More Steps

Evaluate
x−1+x+2x−5+2x−4+2x−3+2x−2−150
Write the repeated addition as multiplication
x−1+x+2x×4−5−4−3−2−150
Multiply the numbers
x−1+x+8x−5−4−3−2−150
Add the terms
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Evaluate
x+x+8x
Collect like terms by calculating the sum or difference of their coefficients
(1+1+8)x
Add the numbers
10x
10x−1−5−4−3−2−150
Subtract the numbers
10x−165
10x−165=0
Move the constant to the right side
10x=165
Solution
2x=33
Show Solution
