2(7-x)+5(x+1)=10(1+x)-9(x+1)

Solution for 2(7-x)+5(x+1)=10(1+x)-9(x+1) equation:

Simplifying
2(7 + -1x) + 5(x + 1) = 10(1 + x) + -9(x + 1)
(7 * 2 + -1x * 2) + 5(x + 1) = 10(1 + x) + -9(x + 1)
(14 + -2x) + 5(x + 1) = 10(1 + x) + -9(x + 1)

Reorder the terms:
14 + -2x + 5(1 + x) = 10(1 + x) + -9(x + 1)
14 + -2x + (1 * 5 + x * 5) = 10(1 + x) + -9(x + 1)
14 + -2x + (5 + 5x) = 10(1 + x) + -9(x + 1)

Reorder the terms:
14 + 5 + -2x + 5x = 10(1 + x) + -9(x + 1)

Combine like terms: 14 + 5 = 19
19 + -2x + 5x = 10(1 + x) + -9(x + 1)

Combine like terms: -2x + 5x = 3x
19 + 3x = 10(1 + x) + -9(x + 1)
19 + 3x = (1 * 10 + x * 10) + -9(x + 1)
19 + 3x = (10 + 10x) + -9(x + 1)

Reorder the terms:
19 + 3x = 10 + 10x + -9(1 + x)
19 + 3x = 10 + 10x + (1 * -9 + x * -9)
19 + 3x = 10 + 10x + (-9 + -9x)

Reorder the terms:
19 + 3x = 10 + -9 + 10x + -9x

Combine like terms: 10 + -9 = 1
19 + 3x = 1 + 10x + -9x

Combine like terms: 10x + -9x = 1x
19 + 3x = 1 + 1x

Solving
19 + 3x = 1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
19 + 3x + -1x = 1 + 1x + -1x

Combine like terms: 3x + -1x = 2x
19 + 2x = 1 + 1x + -1x

Combine like terms: 1x + -1x = 0
19 + 2x = 1 + 0
19 + 2x = 1

Add '-19' to each side of the equation.
19 + -19 + 2x = 1 + -19

Combine like terms: 19 + -19 = 0
0 + 2x = 1 + -19
2x = 1 + -19

Combine like terms: 1 + -19 = -18
2x = -18

Divide each side by '2'.
x = -9

Simplifying
x = -9