2x-[5x-(6x+2)]=14-x

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Solution for 2x-[5x-(6x+2)]=14-x equation:


Simplifying
2x + -1[5x + -1(6x + 2)] = 14 + -1x

Reorder the terms:
2x + -1[5x + -1(2 + 6x)] = 14 + -1x
2x + -1[5x + (2 * -1 + 6x * -1)] = 14 + -1x
2x + -1[5x + (-2 + -6x)] = 14 + -1x

Reorder the terms:
2x + -1[-2 + 5x + -6x] = 14 + -1x

Combine like terms: 5x + -6x = -1x
2x + -1[-2 + -1x] = 14 + -1x
2x + [-2 * -1 + -1x * -1] = 14 + -1x
2x + [2 + 1x] = 14 + -1x

Reorder the terms:
2 + 2x + 1x = 14 + -1x

Combine like terms: 2x + 1x = 3x
2 + 3x = 14 + -1x

Solving
2 + 3x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 3x + x = 14 + -1x + x

Combine like terms: 3x + x = 4x
2 + 4x = 14 + -1x + x

Combine like terms: -1x + x = 0
2 + 4x = 14 + 0
2 + 4x = 14

Add '-2' to each side of the equation.
2 + -2 + 4x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 14 + -2
4x = 14 + -2

Combine like terms: 14 + -2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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