5x+3=2-(9x-6)

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Solution for 5x+3=2-(9x-6) equation:


Simplifying
5x + 3 = 2 + -1(9x + -6)

Reorder the terms:
3 + 5x = 2 + -1(9x + -6)

Reorder the terms:
3 + 5x = 2 + -1(-6 + 9x)
3 + 5x = 2 + (-6 * -1 + 9x * -1)
3 + 5x = 2 + (6 + -9x)

Combine like terms: 2 + 6 = 8
3 + 5x = 8 + -9x

Solving
3 + 5x = 8 + -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.
3 + 5x + 9x = 8 + -9x + 9x

Combine like terms: 5x + 9x = 14x
3 + 14x = 8 + -9x + 9x

Combine like terms: -9x + 9x = 0
3 + 14x = 8 + 0
3 + 14x = 8

Add '-3' to each side of the equation.
3 + -3 + 14x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 8 + -3
14x = 8 + -3

Combine like terms: 8 + -3 = 5
14x = 5

Divide each side by '14'.
x = 0.3571428571

Simplifying
x = 0.3571428571

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