-3x+9=5x-2

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Solution for -3x+9=5x-2 equation: 


Simplifying
-3x + 9 = 5x + -2

Reorder the terms:
9 + -3x = 5x + -2

Reorder the terms:
9 + -3x = -2 + 5x

Solving
9 + -3x = -2 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
9 + -3x + -5x = -2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
9 + -8x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -8x = -2 + 0
9 + -8x = -2

Add '-9' to each side of the equation.
9 + -9 + -8x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = -2 + -9
-8x = -2 + -9

Combine like terms: -2 + -9 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375

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