4x-2=12x-42

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Solution for 4x-2=12x-42 equation:


Simplifying
4x + -2 = 12x + -42

Reorder the terms:
-2 + 4x = 12x + -42

Reorder the terms:
-2 + 4x = -42 + 12x

Solving
-2 + 4x = -42 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 4x + -12x = -42 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-2 + -8x = -42 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -8x = -42 + 0
-2 + -8x = -42

Add '2' to each side of the equation.
-2 + 2 + -8x = -42 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -42 + 2
-8x = -42 + 2

Combine like terms: -42 + 2 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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