2[3(x-4)-2(5x+1)]=3(x-2)-4(2x+1)

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Solution for 2[3(x-4)-2(5x+1)]=3(x-2)-4(2x+1) equation: 


Simplifying
2[3(x + -4) + -2(5x + 1)] = 3(x + -2) + -4(2x + 1)

Reorder the terms:
2[3(-4 + x) + -2(5x + 1)] = 3(x + -2) + -4(2x + 1)
2[(-4 * 3 + x * 3) + -2(5x + 1)] = 3(x + -2) + -4(2x + 1)
2[(-12 + 3x) + -2(5x + 1)] = 3(x + -2) + -4(2x + 1)

Reorder the terms:
2[-12 + 3x + -2(1 + 5x)] = 3(x + -2) + -4(2x + 1)
2[-12 + 3x + (1 * -2 + 5x * -2)] = 3(x + -2) + -4(2x + 1)
2[-12 + 3x + (-2 + -10x)] = 3(x + -2) + -4(2x + 1)

Reorder the terms:
2[-12 + -2 + 3x + -10x] = 3(x + -2) + -4(2x + 1)

Combine like terms: -12 + -2 = -14
2[-14 + 3x + -10x] = 3(x + -2) + -4(2x + 1)

Combine like terms: 3x + -10x = -7x
2[-14 + -7x] = 3(x + -2) + -4(2x + 1)
[-14 * 2 + -7x * 2] = 3(x + -2) + -4(2x + 1)
[-28 + -14x] = 3(x + -2) + -4(2x + 1)

Reorder the terms:
-28 + -14x = 3(-2 + x) + -4(2x + 1)
-28 + -14x = (-2 * 3 + x * 3) + -4(2x + 1)
-28 + -14x = (-6 + 3x) + -4(2x + 1)

Reorder the terms:
-28 + -14x = -6 + 3x + -4(1 + 2x)
-28 + -14x = -6 + 3x + (1 * -4 + 2x * -4)
-28 + -14x = -6 + 3x + (-4 + -8x)

Reorder the terms:
-28 + -14x = -6 + -4 + 3x + -8x

Combine like terms: -6 + -4 = -10
-28 + -14x = -10 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-28 + -14x = -10 + -5x

Solving
-28 + -14x = -10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-28 + -14x + 5x = -10 + -5x + 5x

Combine like terms: -14x + 5x = -9x
-28 + -9x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-28 + -9x = -10 + 0
-28 + -9x = -10

Add '28' to each side of the equation.
-28 + 28 + -9x = -10 + 28

Combine like terms: -28 + 28 = 0
0 + -9x = -10 + 28
-9x = -10 + 28

Combine like terms: -10 + 28 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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