3x+17=4x-19

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Solution for 3x+17=4x-19 equation:


Simplifying
3x + 17 = 4x + -19

Reorder the terms:
17 + 3x = 4x + -19

Reorder the terms:
17 + 3x = -19 + 4x

Solving
17 + 3x = -19 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + 3x + -4x = -19 + 4x + -4x

Combine like terms: 3x + -4x = -1x
17 + -1x = -19 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -1x = -19 + 0
17 + -1x = -19

Add '-17' to each side of the equation.
17 + -17 + -1x = -19 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = -19 + -17
-1x = -19 + -17

Combine like terms: -19 + -17 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36

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