[-6x+(4x+3)]=7-(5x+6)

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Solution for [-6x+(4x+3)]=7-(5x+6) equation:


Simplifying
[-6x + (4x + 3)] = 7 + -1(5x + 6)

Reorder the terms:
[-6x + (3 + 4x)] = 7 + -1(5x + 6)

Remove parenthesis around (3 + 4x)
[-6x + 3 + 4x] = 7 + -1(5x + 6)

Reorder the terms:
[3 + -6x + 4x] = 7 + -1(5x + 6)

Combine like terms: -6x + 4x = -2x
[3 + -2x] = 7 + -1(5x + 6)

Remove brackets around [3 + -2x]
3 + -2x = 7 + -1(5x + 6)

Reorder the terms:
3 + -2x = 7 + -1(6 + 5x)
3 + -2x = 7 + (6 * -1 + 5x * -1)
3 + -2x = 7 + (-6 + -5x)

Combine like terms: 7 + -6 = 1
3 + -2x = 1 + -5x

Solving
3 + -2x = 1 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3 + -2x + 5x = 1 + -5x + 5x

Combine like terms: -2x + 5x = 3x
3 + 3x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 3x = 1 + 0
3 + 3x = 1

Add '-3' to each side of the equation.
3 + -3 + 3x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 1 + -3
3x = 1 + -3

Combine like terms: 1 + -3 = -2
3x = -2

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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