Solve for x
x=\frac{3}{7}\approx 0.428571429
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2x-3-\left(-2x\right)+8=6x+2-3\left(-2+3x\right)
To find the opposite of 3-2x, find the opposite of each term.
2x-3+2x+8=6x+2-3\left(-2+3x\right)
The opposite of -2x is 2x.
4x-3+8=6x+2-3\left(-2+3x\right)
Combine 2x and 2x to get 4x.
4x+5=6x+2-3\left(-2+3x\right)
Add -3 and 8 to get 5.
4x+5=6x+2+6-9x
Use the distributive property to multiply -3 by -2+3x.
4x+5=6x+8-9x
Add 2 and 6 to get 8.
4x+5=-3x+8
Combine 6x and -9x to get -3x.
4x+5+3x=8
Add 3x to both sides.
7x+5=8
Combine 4x and 3x to get 7x.
7x=8-5
Subtract 5 from both sides.
7x=3
Subtract 5 from 8 to get 3.
x=\frac{3}{7}
Divide both sides by 7.
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Limits
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