2x+52=4x-16

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Solution for 2x+52=4x-16 equation:


Simplifying
2x + 52 = 4x + -16

Reorder the terms:
52 + 2x = 4x + -16

Reorder the terms:
52 + 2x = -16 + 4x

Solving
52 + 2x = -16 + 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.
52 + 2x + -4x = -16 + 4x + -4x

Combine like terms: 2x + -4x = -2x
52 + -2x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
52 + -2x = -16 + 0
52 + -2x = -16

Add '-52' to each side of the equation.
52 + -52 + -2x = -16 + -52

Combine like terms: 52 + -52 = 0
0 + -2x = -16 + -52
-2x = -16 + -52

Combine like terms: -16 + -52 = -68
-2x = -68

Divide each side by '-2'.
x = 34

Simplifying
x = 34

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