2[3(x-1)-(x-3)]=21[2x-(3-x)-(3x-7)]

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Solution for 2[3(x-1)-(x-3)]=21[2x-(3-x)-(3x-7)] equation: 


Simplifying
2[3(x + -1) + -1(x + -3)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Reorder the terms:
2[3(-1 + x) + -1(x + -3)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]
2[(-1 * 3 + x * 3) + -1(x + -3)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]
2[(-3 + 3x) + -1(x + -3)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Reorder the terms:
2[-3 + 3x + -1(-3 + x)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]
2[-3 + 3x + (-3 * -1 + x * -1)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]
2[-3 + 3x + (3 + -1x)] = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Reorder the terms:
2[-3 + 3 + 3x + -1x] = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Combine like terms: -3 + 3 = 0
2[0 + 3x + -1x] = 21[2x + -1(3 + -1x) + -1(3x + -7)]
2[3x + -1x] = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Combine like terms: 3x + -1x = 2x
2[2x] = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Remove brackets around [2x]
2 * 2x = 21[2x + -1(3 + -1x) + -1(3x + -7)]

Multiply 2 * 2
4x = 21[2x + -1(3 + -1x) + -1(3x + -7)]
4x = 21[2x + (3 * -1 + -1x * -1) + -1(3x + -7)]
4x = 21[2x + (-3 + 1x) + -1(3x + -7)]

Reorder the terms:
4x = 21[2x + -3 + 1x + -1(-7 + 3x)]
4x = 21[2x + -3 + 1x + (-7 * -1 + 3x * -1)]
4x = 21[2x + -3 + 1x + (7 + -3x)]

Reorder the terms:
4x = 21[-3 + 7 + 2x + 1x + -3x]

Combine like terms: -3 + 7 = 4
4x = 21[4 + 2x + 1x + -3x]

Combine like terms: 2x + 1x = 3x
4x = 21[4 + 3x + -3x]

Combine like terms: 3x + -3x = 0
4x = 21[4 + 0]
4x = 21[4]

Multiply 21 * 4
4x = 84

Solving
4x = 84

Solving for variable 'x'.

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

Divide each side by '4'.
x = 21

Simplifying
x = 21

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