-2[x-(2x-5)]=3x+2

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Solution for -2[x-(2x-5)]=3x+2 equation:


Simplifying
-2[x + -1(2x + -5)] = 3x + 2

Reorder the terms:
-2[x + -1(-5 + 2x)] = 3x + 2
-2[x + (-5 * -1 + 2x * -1)] = 3x + 2
-2[x + (5 + -2x)] = 3x + 2

Reorder the terms:
-2[5 + x + -2x] = 3x + 2

Combine like terms: x + -2x = -1x
-2[5 + -1x] = 3x + 2
[5 * -2 + -1x * -2] = 3x + 2
[-10 + 2x] = 3x + 2

Reorder the terms:
-10 + 2x = 2 + 3x

Solving
-10 + 2x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 2x + -3x = 2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = 2 + 0
-10 + -1x = 2

Add '10' to each side of the equation.
-10 + 10 + -1x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 2 + 10
-1x = 2 + 10

Combine like terms: 2 + 10 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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