3x+15=5x-17

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Solution for 3x+15=5x-17 equation:


Simplifying
3x + 15 = 5x + -17

Reorder the terms:
15 + 3x = 5x + -17

Reorder the terms:
15 + 3x = -17 + 5x

Solving
15 + 3x = -17 + 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.
15 + 3x + -5x = -17 + 5x + -5x

Combine like terms: 3x + -5x = -2x
15 + -2x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -2x = -17 + 0
15 + -2x = -17

Add '-15' to each side of the equation.
15 + -15 + -2x = -17 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -17 + -15
-2x = -17 + -15

Combine like terms: -17 + -15 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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