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

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


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

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

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

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

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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