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

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

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

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

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

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

Remove parenthesis around (7 + 2x)
7x + 7 + 2x = 2 + (x + 3(2x + -1))

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

Combine like terms: 7x + 2x = 9x
7 + 9x = 2 + (x + 3(2x + -1))

Reorder the terms:
7 + 9x = 2 + (x + 3(-1 + 2x))
7 + 9x = 2 + (x + (-1 * 3 + 2x * 3))
7 + 9x = 2 + (x + (-3 + 6x))

Reorder the terms:
7 + 9x = 2 + (-3 + x + 6x)

Combine like terms: x + 6x = 7x
7 + 9x = 2 + (-3 + 7x)

Remove parenthesis around (-3 + 7x)
7 + 9x = 2 + -3 + 7x

Combine like terms: 2 + -3 = -1
7 + 9x = -1 + 7x

Solving
7 + 9x = -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 + 9x + -7x = -1 + 7x + -7x

Combine like terms: 9x + -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 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4