10-2[3(x+4)-5]=4(x-6)+2(2x-4)

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Solution for 10-2[3(x+4)-5]=4(x-6)+2(2x-4) equation: 


Simplifying
10 + -2[3(x + 4) + -5] = 4(x + -6) + 2(2x + -4)

Reorder the terms:
10 + -2[3(4 + x) + -5] = 4(x + -6) + 2(2x + -4)
10 + -2[(4 * 3 + x * 3) + -5] = 4(x + -6) + 2(2x + -4)
10 + -2[(12 + 3x) + -5] = 4(x + -6) + 2(2x + -4)

Reorder the terms:
10 + -2[12 + -5 + 3x] = 4(x + -6) + 2(2x + -4)

Combine like terms: 12 + -5 = 7
10 + -2[7 + 3x] = 4(x + -6) + 2(2x + -4)
10 + [7 * -2 + 3x * -2] = 4(x + -6) + 2(2x + -4)
10 + [-14 + -6x] = 4(x + -6) + 2(2x + -4)

Combine like terms: 10 + -14 = -4
-4 + -6x = 4(x + -6) + 2(2x + -4)

Reorder the terms:
-4 + -6x = 4(-6 + x) + 2(2x + -4)
-4 + -6x = (-6 * 4 + x * 4) + 2(2x + -4)
-4 + -6x = (-24 + 4x) + 2(2x + -4)

Reorder the terms:
-4 + -6x = -24 + 4x + 2(-4 + 2x)
-4 + -6x = -24 + 4x + (-4 * 2 + 2x * 2)
-4 + -6x = -24 + 4x + (-8 + 4x)

Reorder the terms:
-4 + -6x = -24 + -8 + 4x + 4x

Combine like terms: -24 + -8 = -32
-4 + -6x = -32 + 4x + 4x

Combine like terms: 4x + 4x = 8x
-4 + -6x = -32 + 8x

Solving
-4 + -6x = -32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + -6x + -8x = -32 + 8x + -8x

Combine like terms: -6x + -8x = -14x
-4 + -14x = -32 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -14x = -32 + 0
-4 + -14x = -32

Add '4' to each side of the equation.
-4 + 4 + -14x = -32 + 4

Combine like terms: -4 + 4 = 0
0 + -14x = -32 + 4
-14x = -32 + 4

Combine like terms: -32 + 4 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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