4x-2=5x-16

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Solution for 4x-2=5x-16 equation:


Simplifying
4x + -2 = 5x + -16

Reorder the terms:
-2 + 4x = 5x + -16

Reorder the terms:
-2 + 4x = -16 + 5x

Solving
-2 + 4x = -16 + 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.
-2 + 4x + -5x = -16 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-2 + -1x = -16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -1x = -16 + 0
-2 + -1x = -16

Add '2' to each side of the equation.
-2 + 2 + -1x = -16 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -16 + 2
-1x = -16 + 2

Combine like terms: -16 + 2 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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