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

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


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

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

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

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

Solving
6 + 5x = 8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 5x + 3x = 8 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
6 + 8x = 8 + 0
6 + 8x = 8

Add '-6' to each side of the equation.
6 + -6 + 8x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 8 + -6
8x = 8 + -6

Combine like terms: 8 + -6 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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