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

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

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

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

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

Combine like terms: 9 + 1 = 10
10 + 2x + -1x = 3(x + 1) + 6(x + -1)

Combine like terms: 2x + -1x = 1x
10 + 1x = 3(x + 1) + 6(x + -1)

Reorder the terms:
10 + 1x = 3(1 + x) + 6(x + -1)
10 + 1x = (1 * 3 + x * 3) + 6(x + -1)
10 + 1x = (3 + 3x) + 6(x + -1)

Reorder the terms:
10 + 1x = 3 + 3x + 6(-1 + x)
10 + 1x = 3 + 3x + (-1 * 6 + x * 6)
10 + 1x = 3 + 3x + (-6 + 6x)

Reorder the terms:
10 + 1x = 3 + -6 + 3x + 6x

Combine like terms: 3 + -6 = -3
10 + 1x = -3 + 3x + 6x

Combine like terms: 3x + 6x = 9x
10 + 1x = -3 + 9x

Solving
10 + 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.
10 + 1x + -9x = -3 + 9x + -9x

Combine like terms: 1x + -9x = -8x
10 + -8x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -8x = -3 + 0
10 + -8x = -3

Add '-10' to each side of the equation.
10 + -10 + -8x = -3 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -3 + -10
-8x = -3 + -10

Combine like terms: -3 + -10 = -13
-8x = -13

Divide each side by '-8'.
x = 1.625

Simplifying
x = 1.625