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2x+7=10x-2
Multiply both sides of the equation by 2.
2x+7-10x=-2
Subtract 10x from both sides.
-8x+7=-2
Combine 2x and -10x to get -8x.
-8x=-2-7
Subtract 7 from both sides.
-8x=-9
Subtract 7 from -2 to get -9.
x=\frac{-9}{-8}
Divide both sides by -8.
x=\frac{9}{8}
Fraction \frac{-9}{-8} can be simplified to \frac{9}{8} by removing the negative sign from both the numerator and the denominator.