-[2x-(5x+2)]=2+2(2x+7)

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Solution for -[2x-(5x+2)]=2+2(2x+7) equation:


Simplifying
-1[2x + -1(5x + 2)] = 2 + 2(2x + 7)

Reorder the terms:
-1[2x + -1(2 + 5x)] = 2 + 2(2x + 7)
-1[2x + (2 * -1 + 5x * -1)] = 2 + 2(2x + 7)
-1[2x + (-2 + -5x)] = 2 + 2(2x + 7)

Reorder the terms:
-1[-2 + 2x + -5x] = 2 + 2(2x + 7)

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

Reorder the terms:
2 + 3x = 2 + 2(7 + 2x)
2 + 3x = 2 + (7 * 2 + 2x * 2)
2 + 3x = 2 + (14 + 4x)

Combine like terms: 2 + 14 = 16
2 + 3x = 16 + 4x

Solving
2 + 3x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 3x + -4x = 16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = 16 + 0
2 + -1x = 16

Add '-2' to each side of the equation.
2 + -2 + -1x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 16 + -2
-1x = 16 + -2

Combine like terms: 16 + -2 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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