2x+17=4x-21

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Solution for 2x+17=4x-21 equation:


Simplifying
2x + 17 = 4x + -21

Reorder the terms:
17 + 2x = 4x + -21

Reorder the terms:
17 + 2x = -21 + 4x

Solving
17 + 2x = -21 + 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 + 2x + -4x = -21 + 4x + -4x

Combine like terms: 2x + -4x = -2x
17 + -2x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -2x = -21 + 0
17 + -2x = -21

Add '-17' to each side of the equation.
17 + -17 + -2x = -21 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = -21 + -17
-2x = -21 + -17

Combine like terms: -21 + -17 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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