(3x-1)+(2x+2)=(5x-7)+(x+5)

Solution for (3x-1)+(2x+2)=(5x-7)+(x+5) equation:

Simplifying
(3x + -1) + (2x + 2) = (5x + -7) + (x + 5)

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

Remove parenthesis around (-1 + 3x)
-1 + 3x + (2x + 2) = (5x + -7) + (x + 5)

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

Remove parenthesis around (2 + 2x)
-1 + 3x + 2 + 2x = (5x + -7) + (x + 5)

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

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

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

Reorder the terms:
1 + 5x = (-7 + 5x) + (x + 5)

Remove parenthesis around (-7 + 5x)
1 + 5x = -7 + 5x + (x + 5)

Reorder the terms:
1 + 5x = -7 + 5x + (5 + x)

Remove parenthesis around (5 + x)
1 + 5x = -7 + 5x + 5 + x

Reorder the terms:
1 + 5x = -7 + 5 + 5x + x

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

Combine like terms: 5x + x = 6x
1 + 5x = -2 + 6x

Solving
1 + 5x = -2 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 5x + -6x = -2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
1 + -1x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -1x = -2 + 0
1 + -1x = -2

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3