3x+17=5x-28

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Solution for 3x+17=5x-28 equation: 


Simplifying
3x + 17 = 5x + -28

Reorder the terms:
17 + 3x = 5x + -28

Reorder the terms:
17 + 3x = -28 + 5x

Solving
17 + 3x = -28 + 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.
17 + 3x + -5x = -28 + 5x + -5x

Combine like terms: 3x + -5x = -2x
17 + -2x = -28 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -2x = -28 + 0
17 + -2x = -28

Add '-17' to each side of the equation.
17 + -17 + -2x = -28 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = -28 + -17
-2x = -28 + -17

Combine like terms: -28 + -17 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5

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