4x-54=2x-16

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Solution for 4x-54=2x-16 equation:


Simplifying
4x + -54 = 2x + -16

Reorder the terms:
-54 + 4x = 2x + -16

Reorder the terms:
-54 + 4x = -16 + 2x

Solving
-54 + 4x = -16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-54 + 4x + -2x = -16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-54 + 2x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-54 + 2x = -16 + 0
-54 + 2x = -16

Add '54' to each side of the equation.
-54 + 54 + 2x = -16 + 54

Combine like terms: -54 + 54 = 0
0 + 2x = -16 + 54
2x = -16 + 54

Combine like terms: -16 + 54 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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