6x+3=2-(8x-9)

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Solution for 6x+3=2-(8x-9) equation:


Simplifying
6x + 3 = 2 + -1(8x + -9)

Reorder the terms:
3 + 6x = 2 + -1(8x + -9)

Reorder the terms:
3 + 6x = 2 + -1(-9 + 8x)
3 + 6x = 2 + (-9 * -1 + 8x * -1)
3 + 6x = 2 + (9 + -8x)

Combine like terms: 2 + 9 = 11
3 + 6x = 11 + -8x

Solving
3 + 6x = 11 + -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.
3 + 6x + 8x = 11 + -8x + 8x

Combine like terms: 6x + 8x = 14x
3 + 14x = 11 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 14x = 11 + 0
3 + 14x = 11

Add '-3' to each side of the equation.
3 + -3 + 14x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 14x = 11 + -3
14x = 11 + -3

Combine like terms: 11 + -3 = 8
14x = 8

Divide each side by '14'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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