[6-4x+2(x-7)]-52=2(2x-4)+6[3(2x-3)+6]

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Solution for [6-4x+2(x-7)]-52=2(2x-4)+6[3(2x-3)+6] equation:


Simplifying
[6 + -4x + 2(x + -7)] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]

Reorder the terms:
[6 + -4x + 2(-7 + x)] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]
[6 + -4x + (-7 * 2 + x * 2)] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]
[6 + -4x + (-14 + 2x)] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]

Reorder the terms:
[6 + -14 + -4x + 2x] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]

Combine like terms: 6 + -14 = -8
[-8 + -4x + 2x] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]

Combine like terms: -4x + 2x = -2x
[-8 + -2x] + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]

Remove brackets around [-8 + -2x]
-8 + -2x + -52 = 2(2x + -4) + 6[3(2x + -3) + 6]

Reorder the terms:
-8 + -52 + -2x = 2(2x + -4) + 6[3(2x + -3) + 6]

Combine like terms: -8 + -52 = -60
-60 + -2x = 2(2x + -4) + 6[3(2x + -3) + 6]

Reorder the terms:
-60 + -2x = 2(-4 + 2x) + 6[3(2x + -3) + 6]
-60 + -2x = (-4 * 2 + 2x * 2) + 6[3(2x + -3) + 6]
-60 + -2x = (-8 + 4x) + 6[3(2x + -3) + 6]

Reorder the terms:
-60 + -2x = -8 + 4x + 6[3(-3 + 2x) + 6]
-60 + -2x = -8 + 4x + 6[(-3 * 3 + 2x * 3) + 6]
-60 + -2x = -8 + 4x + 6[(-9 + 6x) + 6]

Reorder the terms:
-60 + -2x = -8 + 4x + 6[-9 + 6 + 6x]

Combine like terms: -9 + 6 = -3
-60 + -2x = -8 + 4x + 6[-3 + 6x]
-60 + -2x = -8 + 4x + [-3 * 6 + 6x * 6]
-60 + -2x = -8 + 4x + [-18 + 36x]

Reorder the terms:
-60 + -2x = -8 + -18 + 4x + 36x

Combine like terms: -8 + -18 = -26
-60 + -2x = -26 + 4x + 36x

Combine like terms: 4x + 36x = 40x
-60 + -2x = -26 + 40x

Solving
-60 + -2x = -26 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-60 + -2x + -40x = -26 + 40x + -40x

Combine like terms: -2x + -40x = -42x
-60 + -42x = -26 + 40x + -40x

Combine like terms: 40x + -40x = 0
-60 + -42x = -26 + 0
-60 + -42x = -26

Add '60' to each side of the equation.
-60 + 60 + -42x = -26 + 60

Combine like terms: -60 + 60 = 0
0 + -42x = -26 + 60
-42x = -26 + 60

Combine like terms: -26 + 60 = 34
-42x = 34

Divide each side by '-42'.
x = -0.8095238095

Simplifying
x = -0.8095238095

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