x+(x+1)=75

Solution for x+(x+1)=75 equation:

Simplifying
x + (x + 1) = 75

Reorder the terms:
x + (1 + x) = 75

Remove parenthesis around (1 + x)
x + 1 + x = 75

Reorder the terms:
1 + x + x = 75

Combine like terms: x + x = 2x
1 + 2x = 75

Solving
1 + 2x = 75

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 + 2x = 75 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 75 + -1
2x = 75 + -1

Combine like terms: 75 + -1 = 74
2x = 74

Divide each side by '2'.
x = 37

Simplifying
x = 37