40-1x=21x-100

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Solution for 40-1x=21x-100 equation:


Simplifying
40 + -1x = 21x + -100

Reorder the terms:
40 + -1x = -100 + 21x

Solving
40 + -1x = -100 + 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.
40 + -1x + -21x = -100 + 21x + -21x

Combine like terms: -1x + -21x = -22x
40 + -22x = -100 + 21x + -21x

Combine like terms: 21x + -21x = 0
40 + -22x = -100 + 0
40 + -22x = -100

Add '-40' to each side of the equation.
40 + -40 + -22x = -100 + -40

Combine like terms: 40 + -40 = 0
0 + -22x = -100 + -40
-22x = -100 + -40

Combine like terms: -100 + -40 = -140
-22x = -140

Divide each side by '-22'.
x = 6.363636364

Simplifying
x = 6.363636364

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