-[x-(4x+2)]=2+(2x+7)

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Solution for -[x-(4x+2)]=2+(2x+7) equation:


Simplifying
-1[x + -1(4x + 2)] = 2 + (2x + 7)

Reorder the terms:
-1[x + -1(2 + 4x)] = 2 + (2x + 7)
-1[x + (2 * -1 + 4x * -1)] = 2 + (2x + 7)
-1[x + (-2 + -4x)] = 2 + (2x + 7)

Reorder the terms:
-1[-2 + x + -4x] = 2 + (2x + 7)

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

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

Remove parenthesis around (7 + 2x)
2 + 3x = 2 + 7 + 2x

Combine like terms: 2 + 7 = 9
2 + 3x = 9 + 2x

Solving
2 + 3x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + 3x + -2x = 9 + 2x + -2x

Combine like terms: 3x + -2x = 1x
2 + 1x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 1x = 9 + 0
2 + 1x = 9

Add '-2' to each side of the equation.
2 + -2 + 1x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 9 + -2
1x = 9 + -2

Combine like terms: 9 + -2 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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