7x-(3x-(x-7))=2+(x+3(2x-1))

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Solution for 7x-(3x-(x-7))=2+(x+3(2x-1)) equation: 


Simplifying
7x + -1(3x + -1(x + -7)) = 2 + (x + 3(2x + -1))

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

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

Combine like terms: 3x + -1x = 2x
7x + -1(7 + 2x) = 2 + (x + 3(2x + -1))
7x + (7 * -1 + 2x * -1) = 2 + (x + 3(2x + -1))
7x + (-7 + -2x) = 2 + (x + 3(2x + -1))

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

Combine like terms: 7x + -2x = 5x
-7 + 5x = 2 + (x + 3(2x + -1))

Reorder the terms:
-7 + 5x = 2 + (x + 3(-1 + 2x))
-7 + 5x = 2 + (x + (-1 * 3 + 2x * 3))
-7 + 5x = 2 + (x + (-3 + 6x))

Reorder the terms:
-7 + 5x = 2 + (-3 + x + 6x)

Combine like terms: x + 6x = 7x
-7 + 5x = 2 + (-3 + 7x)

Remove parenthesis around (-3 + 7x)
-7 + 5x = 2 + -3 + 7x

Combine like terms: 2 + -3 = -1
-7 + 5x = -1 + 7x

Solving
-7 + 5x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-7 + 5x + -7x = -1 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-7 + -2x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -2x = -1 + 0
-7 + -2x = -1

Add '7' to each side of the equation.
-7 + 7 + -2x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = -1 + 7
-2x = -1 + 7

Combine like terms: -1 + 7 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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