7x-[(x+5)-(3x-1)]=12

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Solution for 7x-[(x+5)-(3x-1)]=12 equation:


Simplifying
7x + -1[(x + 5) + -1(3x + -1)] = 12

Reorder the terms:
7x + -1[(5 + x) + -1(3x + -1)] = 12

Remove parenthesis around (5 + x)
7x + -1[5 + x + -1(3x + -1)] = 12

Reorder the terms:
7x + -1[5 + x + -1(-1 + 3x)] = 12
7x + -1[5 + x + (-1 * -1 + 3x * -1)] = 12
7x + -1[5 + x + (1 + -3x)] = 12

Reorder the terms:
7x + -1[5 + 1 + x + -3x] = 12

Combine like terms: 5 + 1 = 6
7x + -1[6 + x + -3x] = 12

Combine like terms: x + -3x = -2x
7x + -1[6 + -2x] = 12
7x + [6 * -1 + -2x * -1] = 12
7x + [-6 + 2x] = 12

Reorder the terms:
-6 + 7x + 2x = 12

Combine like terms: 7x + 2x = 9x
-6 + 9x = 12

Solving
-6 + 9x = 12

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 9x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 12 + 6
9x = 12 + 6

Combine like terms: 12 + 6 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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