2x+9=7x-21

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


Simplifying
2x + 9 = 7x + -21

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

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

Solving
9 + 2x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
9 + 2x + -7x = -21 + 7x + -7x

Combine like terms: 2x + -7x = -5x
9 + -5x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -5x = -21 + 0
9 + -5x = -21

Add '-9' to each side of the equation.
9 + -9 + -5x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = -21 + -9
-5x = -21 + -9

Combine like terms: -21 + -9 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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