4-2[2x-3]=2[x+11]

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Solution for 4-2[2x-3]=2[x+11] equation: 


Simplifying
4 + -2[2x + -3] = 2[x + 11]

Reorder the terms:
4 + -2[-3 + 2x] = 2[x + 11]
4 + [-3 * -2 + 2x * -2] = 2[x + 11]
4 + [6 + -4x] = 2[x + 11]

Combine like terms: 4 + 6 = 10
10 + -4x = 2[x + 11]

Reorder the terms:
10 + -4x = 2[11 + x]
10 + -4x = [11 * 2 + x * 2]
10 + -4x = [22 + 2x]

Solving
10 + -4x = 22 + 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.
10 + -4x + -2x = 22 + 2x + -2x

Combine like terms: -4x + -2x = -6x
10 + -6x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -6x = 22 + 0
10 + -6x = 22

Add '-10' to each side of the equation.
10 + -10 + -6x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 22 + -10
-6x = 22 + -10

Combine like terms: 22 + -10 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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