Solve for x
x=35
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-38-\left(-x\right)-\left(37-x\right)=30-x
To find the opposite of 38-x, find the opposite of each term.
-38+x-\left(37-x\right)=30-x
The opposite of -x is x.
-38+x-37-\left(-x\right)=30-x
To find the opposite of 37-x, find the opposite of each term.
-38+x-37+x=30-x
The opposite of -x is x.
-75+x+x=30-x
Subtract 37 from -38 to get -75.
-75+2x=30-x
Combine x and x to get 2x.
-75+2x+x=30
Add x to both sides.
-75+3x=30
Combine 2x and x to get 3x.
3x=30+75
Add 75 to both sides.
3x=105
Add 30 and 75 to get 105.
x=\frac{105}{3}
Divide both sides by 3.
x=35
Divide 105 by 3 to get 35.
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