5(x+1)+6(x-1)=10

Solution for 5(x+1)+6(x-1)=10 equation:

Simplifying
5(x + 1) + 6(x + -1) = 10

Reorder the terms:
5(1 + x) + 6(x + -1) = 10
(1 * 5 + x * 5) + 6(x + -1) = 10
(5 + 5x) + 6(x + -1) = 10

Reorder the terms:
5 + 5x + 6(-1 + x) = 10
5 + 5x + (-1 * 6 + x * 6) = 10
5 + 5x + (-6 + 6x) = 10

Reorder the terms:
5 + -6 + 5x + 6x = 10

Combine like terms: 5 + -6 = -1
-1 + 5x + 6x = 10

Combine like terms: 5x + 6x = 11x
-1 + 11x = 10

Solving
-1 + 11x = 10

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 11x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 11x = 10 + 1
11x = 10 + 1

Combine like terms: 10 + 1 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1