4x-2=21x+42

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Solution for 4x-2=21x+42 equation:


Simplifying
4x + -2 = 21x + 42

Reorder the terms:
-2 + 4x = 21x + 42

Reorder the terms:
-2 + 4x = 42 + 21x

Solving
-2 + 4x = 42 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-2 + 4x + -21x = 42 + 21x + -21x

Combine like terms: 4x + -21x = -17x
-2 + -17x = 42 + 21x + -21x

Combine like terms: 21x + -21x = 0
-2 + -17x = 42 + 0
-2 + -17x = 42

Add '2' to each side of the equation.
-2 + 2 + -17x = 42 + 2

Combine like terms: -2 + 2 = 0
0 + -17x = 42 + 2
-17x = 42 + 2

Combine like terms: 42 + 2 = 44
-17x = 44

Divide each side by '-17'.
x = -2.588235294

Simplifying
x = -2.588235294

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