(5x+9)=(8x-2)

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Solution for (5x+9)=(8x-2) equation:


Simplifying
(5x + 9) = (8x + -2)

Reorder the terms:
(9 + 5x) = (8x + -2)

Remove parenthesis around (9 + 5x)
9 + 5x = (8x + -2)

Reorder the terms:
9 + 5x = (-2 + 8x)

Remove parenthesis around (-2 + 8x)
9 + 5x = -2 + 8x

Solving
9 + 5x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
9 + 5x + -8x = -2 + 8x + -8x

Combine like terms: 5x + -8x = -3x
9 + -3x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
9 + -3x = -2 + 0
9 + -3x = -2

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

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

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

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

Simplifying
x = 3.666666667

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