2x+7=9x-21

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Solution for 2x+7=9x-21 equation:


Simplifying
2x + 7 = 9x + -21

Reorder the terms:
7 + 2x = 9x + -21

Reorder the terms:
7 + 2x = -21 + 9x

Solving
7 + 2x = -21 + 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.
7 + 2x + -9x = -21 + 9x + -9x

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

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

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

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

Combine like terms: -21 + -7 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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