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If -2x +7 = 3x - 8, then x =

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-2x +7 = 3x - 8

Move the variable to the left-hand side and change its sign

-2x -3x+ 7 = -8

Move the constant to the right-hand side and change its sign

-2x -3x = -8 -7

Collect like terms

-5x = -15

Divide both sides of the equation by -5

x=3
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