21x+7=22x-14

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Solution for 21x+7=22x-14 equation:


Simplifying
21x + 7 = 22x + -14

Reorder the terms:
7 + 21x = 22x + -14

Reorder the terms:
7 + 21x = -14 + 22x

Solving
7 + 21x = -14 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
7 + 21x + -22x = -14 + 22x + -22x

Combine like terms: 21x + -22x = -1x
7 + -1x = -14 + 22x + -22x

Combine like terms: 22x + -22x = 0
7 + -1x = -14 + 0
7 + -1x = -14

Add '-7' to each side of the equation.
7 + -7 + -1x = -14 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -14 + -7
-1x = -14 + -7

Combine like terms: -14 + -7 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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