2(x+1)+97+-1(x+-1)=3(x+1)+6(x+-1)

Solution for 2(x+1)+97+-1(x+-1)=3(x+1)+6(x+-1) equation:

Simplifying
2(x + 1) + 97 + -1(x + -1) = 3(x + 1) + 6(x + -1)

Reorder the terms:
2(1 + x) + 97 + -1(x + -1) = 3(x + 1) + 6(x + -1)
(1 * 2 + x * 2) + 97 + -1(x + -1) = 3(x + 1) + 6(x + -1)
(2 + 2x) + 97 + -1(x + -1) = 3(x + 1) + 6(x + -1)

Reorder the terms:
2 + 2x + 97 + -1(-1 + x) = 3(x + 1) + 6(x + -1)
2 + 2x + 97 + (-1 * -1 + x * -1) = 3(x + 1) + 6(x + -1)
2 + 2x + 97 + (1 + -1x) = 3(x + 1) + 6(x + -1)

Reorder the terms:
2 + 97 + 1 + 2x + -1x = 3(x + 1) + 6(x + -1)

Combine like terms: 2 + 97 = 99
99 + 1 + 2x + -1x = 3(x + 1) + 6(x + -1)

Combine like terms: 99 + 1 = 100
100 + 2x + -1x = 3(x + 1) + 6(x + -1)

Combine like terms: 2x + -1x = 1x
100 + 1x = 3(x + 1) + 6(x + -1)

Reorder the terms:
100 + 1x = 3(1 + x) + 6(x + -1)
100 + 1x = (1 * 3 + x * 3) + 6(x + -1)
100 + 1x = (3 + 3x) + 6(x + -1)

Reorder the terms:
100 + 1x = 3 + 3x + 6(-1 + x)
100 + 1x = 3 + 3x + (-1 * 6 + x * 6)
100 + 1x = 3 + 3x + (-6 + 6x)

Reorder the terms:
100 + 1x = 3 + -6 + 3x + 6x

Combine like terms: 3 + -6 = -3
100 + 1x = -3 + 3x + 6x

Combine like terms: 3x + 6x = 9x
100 + 1x = -3 + 9x

Solving
100 + 1x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
100 + 1x + -9x = -3 + 9x + -9x

Combine like terms: 1x + -9x = -8x
100 + -8x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
100 + -8x = -3 + 0
100 + -8x = -3

Add '-100' to each side of the equation.
100 + -100 + -8x = -3 + -100

Combine like terms: 100 + -100 = 0
0 + -8x = -3 + -100
-8x = -3 + -100

Combine like terms: -3 + -100 = -103
-8x = -103

Divide each side by '-8'.
x = 12.875

Simplifying
x = 12.875