2(x+1)+7(x-1)=3(x+1)+6(x-1)

Solution for 2(x+1)+7(x-1)=3(x+1)+6(x-1) equation:

Simplifying
2(x + 1) + 7(x + -1) = 3(x + 1) + 6(x + -1)

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

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

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

Combine like terms: 2 + -7 = -5
-5 + 2x + 7x = 3(x + 1) + 6(x + -1)

Combine like terms: 2x + 7x = 9x
-5 + 9x = 3(x + 1) + 6(x + -1)

Reorder the terms:
-5 + 9x = 3(1 + x) + 6(x + -1)
-5 + 9x = (1 * 3 + x * 3) + 6(x + -1)
-5 + 9x = (3 + 3x) + 6(x + -1)

Reorder the terms:
-5 + 9x = 3 + 3x + 6(-1 + x)
-5 + 9x = 3 + 3x + (-1 * 6 + x * 6)
-5 + 9x = 3 + 3x + (-6 + 6x)

Reorder the terms:
-5 + 9x = 3 + -6 + 3x + 6x

Combine like terms: 3 + -6 = -3
-5 + 9x = -3 + 3x + 6x

Combine like terms: 3x + 6x = 9x
-5 + 9x = -3 + 9x

Add '-9x' to each side of the equation.
-5 + 9x + -9x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + 0 = -3 + 9x + -9x
-5 = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 = -3 + 0
-5 = -3

Solving
-5 = -3

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.