2x+9=51-4x

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Solution for 2x+9=51-4x equation:


Simplifying
2x + 9 = 51 + -4x

Reorder the terms:
9 + 2x = 51 + -4x

Solving
9 + 2x = 51 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
9 + 2x + 4x = 51 + -4x + 4x

Combine like terms: 2x + 4x = 6x
9 + 6x = 51 + -4x + 4x

Combine like terms: -4x + 4x = 0
9 + 6x = 51 + 0
9 + 6x = 51

Add '-9' to each side of the equation.
9 + -9 + 6x = 51 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 51 + -9
6x = 51 + -9

Combine like terms: 51 + -9 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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