-[9x-(6x+4)]=10-(5x-2)

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Solution for -[9x-(6x+4)]=10-(5x-2) equation:


Simplifying
-1[9x + -1(6x + 4)] = 10 + -1(5x + -2)

Reorder the terms:
-1[9x + -1(4 + 6x)] = 10 + -1(5x + -2)
-1[9x + (4 * -1 + 6x * -1)] = 10 + -1(5x + -2)
-1[9x + (-4 + -6x)] = 10 + -1(5x + -2)

Reorder the terms:
-1[-4 + 9x + -6x] = 10 + -1(5x + -2)

Combine like terms: 9x + -6x = 3x
-1[-4 + 3x] = 10 + -1(5x + -2)
[-4 * -1 + 3x * -1] = 10 + -1(5x + -2)
[4 + -3x] = 10 + -1(5x + -2)

Reorder the terms:
4 + -3x = 10 + -1(-2 + 5x)
4 + -3x = 10 + (-2 * -1 + 5x * -1)
4 + -3x = 10 + (2 + -5x)

Combine like terms: 10 + 2 = 12
4 + -3x = 12 + -5x

Solving
4 + -3x = 12 + -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.
4 + -3x + 5x = 12 + -5x + 5x

Combine like terms: -3x + 5x = 2x
4 + 2x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + 2x = 12 + 0
4 + 2x = 12

Add '-4' to each side of the equation.
4 + -4 + 2x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 12 + -4
2x = 12 + -4

Combine like terms: 12 + -4 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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