(5x+2)=(2x-9)

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Solution for (5x+2)=(2x-9) equation:


Simplifying
(5x + 2) = (2x + -9)

Reorder the terms:
(2 + 5x) = (2x + -9)

Remove parenthesis around (2 + 5x)
2 + 5x = (2x + -9)

Reorder the terms:
2 + 5x = (-9 + 2x)

Remove parenthesis around (-9 + 2x)
2 + 5x = -9 + 2x

Solving
2 + 5x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 5x + -2x = -9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
2 + 3x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 3x = -9 + 0
2 + 3x = -9

Add '-2' to each side of the equation.
2 + -2 + 3x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -9 + -2
3x = -9 + -2

Combine like terms: -9 + -2 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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