Solve for x
x = -\frac{5}{2} = -2\frac{1}{2} = -2.5
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2-x-7-\left(-3x\right)=5+6x
To find the opposite of 7-3x, find the opposite of each term.
2-x-7+3x=5+6x
The opposite of -3x is 3x.
-5-x+3x=5+6x
Subtract 7 from 2 to get -5.
-5+2x=5+6x
Combine -x and 3x to get 2x.
-5+2x-6x=5
Subtract 6x from both sides.
-5-4x=5
Combine 2x and -6x to get -4x.
-4x=5+5
Add 5 to both sides.
-4x=10
Add 5 and 5 to get 10.
x=\frac{10}{-4}
Divide both sides by -4.
x=-\frac{5}{2}
Reduce the fraction \frac{10}{-4} to lowest terms by extracting and canceling out 2.
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