2x+21=9x-42

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Solution for 2x+21=9x-42 equation:


Simplifying
2x + 21 = 9x + -42

Reorder the terms:
21 + 2x = 9x + -42

Reorder the terms:
21 + 2x = -42 + 9x

Solving
21 + 2x = -42 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
21 + 2x + -9x = -42 + 9x + -9x

Combine like terms: 2x + -9x = -7x
21 + -7x = -42 + 9x + -9x

Combine like terms: 9x + -9x = 0
21 + -7x = -42 + 0
21 + -7x = -42

Add '-21' to each side of the equation.
21 + -21 + -7x = -42 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -42 + -21
-7x = -42 + -21

Combine like terms: -42 + -21 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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