3x-19=7x+17

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Solution for 3x-19=7x+17 equation:


Simplifying
3x + -19 = 7x + 17

Reorder the terms:
-19 + 3x = 7x + 17

Reorder the terms:
-19 + 3x = 17 + 7x

Solving
-19 + 3x = 17 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-19 + 3x + -7x = 17 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-19 + -4x = 17 + 7x + -7x

Combine like terms: 7x + -7x = 0
-19 + -4x = 17 + 0
-19 + -4x = 17

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

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

Combine like terms: 17 + 19 = 36
-4x = 36

Divide each side by '-4'.
x = -9

Simplifying
x = -9

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