Solve for x
x=\frac{1}{2}=0.5
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8-3x-2-\left(-7x\right)=12-\left(5-2x\right)
To find the opposite of 2-7x, find the opposite of each term.
8-3x-2+7x=12-\left(5-2x\right)
The opposite of -7x is 7x.
6-3x+7x=12-\left(5-2x\right)
Subtract 2 from 8 to get 6.
6+4x=12-\left(5-2x\right)
Combine -3x and 7x to get 4x.
6+4x=12-5-\left(-2x\right)
To find the opposite of 5-2x, find the opposite of each term.
6+4x=12-5+2x
The opposite of -2x is 2x.
6+4x=7+2x
Subtract 5 from 12 to get 7.
6+4x-2x=7
Subtract 2x from both sides.
6+2x=7
Combine 4x and -2x to get 2x.
2x=7-6
Subtract 6 from both sides.
2x=1
Subtract 6 from 7 to get 1.
x=\frac{1}{2}
Divide both sides by 2.
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