Solve for x
x=3
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2x+6-2x=13-\left(4x-5\right)
Use the distributive property to multiply 2 by x+3.
6=13-\left(4x-5\right)
Combine 2x and -2x to get 0.
6=13-4x-\left(-5\right)
To find the opposite of 4x-5, find the opposite of each term.
6=13-4x+5
The opposite of -5 is 5.
6=18-4x
Add 13 and 5 to get 18.
18-4x=6
Swap sides so that all variable terms are on the left hand side.
-4x=6-18
Subtract 18 from both sides.
-4x=-12
Subtract 18 from 6 to get -12.
x=\frac{-12}{-4}
Divide both sides by -4.
x=3
Divide -12 by -4 to get 3.
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