3x+31=21x-41

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Solution for 3x+31=21x-41 equation:


Simplifying
3x + 31 = 21x + -41

Reorder the terms:
31 + 3x = 21x + -41

Reorder the terms:
31 + 3x = -41 + 21x

Solving
31 + 3x = -41 + 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.
31 + 3x + -21x = -41 + 21x + -21x

Combine like terms: 3x + -21x = -18x
31 + -18x = -41 + 21x + -21x

Combine like terms: 21x + -21x = 0
31 + -18x = -41 + 0
31 + -18x = -41

Add '-31' to each side of the equation.
31 + -31 + -18x = -41 + -31

Combine like terms: 31 + -31 = 0
0 + -18x = -41 + -31
-18x = -41 + -31

Combine like terms: -41 + -31 = -72
-18x = -72

Divide each side by '-18'.
x = 4

Simplifying
x = 4

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