2x-16=5x-46

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Solution for 2x-16=5x-46 equation:


Simplifying
2x + -16 = 5x + -46

Reorder the terms:
-16 + 2x = 5x + -46

Reorder the terms:
-16 + 2x = -46 + 5x

Solving
-16 + 2x = -46 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-16 + 2x + -5x = -46 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-16 + -3x = -46 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -3x = -46 + 0
-16 + -3x = -46

Add '16' to each side of the equation.
-16 + 16 + -3x = -46 + 16

Combine like terms: -16 + 16 = 0
0 + -3x = -46 + 16
-3x = -46 + 16

Combine like terms: -46 + 16 = -30
-3x = -30

Divide each side by '-3'.
x = 10

Simplifying
x = 10

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