4x-2=16x-102

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Solution for 4x-2=16x-102 equation:


Simplifying
4x + -2 = 16x + -102

Reorder the terms:
-2 + 4x = 16x + -102

Reorder the terms:
-2 + 4x = -102 + 16x

Solving
-2 + 4x = -102 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-2 + 4x + -16x = -102 + 16x + -16x

Combine like terms: 4x + -16x = -12x
-2 + -12x = -102 + 16x + -16x

Combine like terms: 16x + -16x = 0
-2 + -12x = -102 + 0
-2 + -12x = -102

Add '2' to each side of the equation.
-2 + 2 + -12x = -102 + 2

Combine like terms: -2 + 2 = 0
0 + -12x = -102 + 2
-12x = -102 + 2

Combine like terms: -102 + 2 = -100
-12x = -100

Divide each side by '-12'.
x = 8.333333333

Simplifying
x = 8.333333333

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