3x+17=19x-15

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Solution for 3x+17=19x-15 equation:


Simplifying
3x + 17 = 19x + -15

Reorder the terms:
17 + 3x = 19x + -15

Reorder the terms:
17 + 3x = -15 + 19x

Solving
17 + 3x = -15 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
17 + 3x + -19x = -15 + 19x + -19x

Combine like terms: 3x + -19x = -16x
17 + -16x = -15 + 19x + -19x

Combine like terms: 19x + -19x = 0
17 + -16x = -15 + 0
17 + -16x = -15

Add '-17' to each side of the equation.
17 + -17 + -16x = -15 + -17

Combine like terms: 17 + -17 = 0
0 + -16x = -15 + -17
-16x = -15 + -17

Combine like terms: -15 + -17 = -32
-16x = -32

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

Simplifying
x = 2

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