3(x+1)+2(x-1)=71

Solution for 3(x+1)+2(x-1)=71 equation:

Simplifying
3(x + 1) + 2(x + -1) = 71

Reorder the terms:
3(1 + x) + 2(x + -1) = 71
(1 * 3 + x * 3) + 2(x + -1) = 71
(3 + 3x) + 2(x + -1) = 71

Reorder the terms:
3 + 3x + 2(-1 + x) = 71
3 + 3x + (-1 * 2 + x * 2) = 71
3 + 3x + (-2 + 2x) = 71

Reorder the terms:
3 + -2 + 3x + 2x = 71

Combine like terms: 3 + -2 = 1
1 + 3x + 2x = 71

Combine like terms: 3x + 2x = 5x
1 + 5x = 71

Solving
1 + 5x = 71

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 + 5x = 71 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 71 + -1
5x = 71 + -1

Combine like terms: 71 + -1 = 70
5x = 70

Divide each side by '5'.
x = 14

Simplifying
x = 14