x+(x+5)+(x-2)=75

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Solution for x+(x+5)+(x-2)=75 equation:


Simplifying
x + (x + 5) + (x + -2) = 75

Reorder the terms:
x + (5 + x) + (x + -2) = 75

Remove parenthesis around (5 + x)
x + 5 + x + (x + -2) = 75

Reorder the terms:
x + 5 + x + (-2 + x) = 75

Remove parenthesis around (-2 + x)
x + 5 + x + -2 + x = 75

Reorder the terms:
5 + -2 + x + x + x = 75

Combine like terms: 5 + -2 = 3
3 + x + x + x = 75

Combine like terms: x + x = 2x
3 + 2x + x = 75

Combine like terms: 2x + x = 3x
3 + 3x = 75

Solving
3 + 3x = 75

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 3x = 75 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 75 + -3
3x = 75 + -3

Combine like terms: 75 + -3 = 72
3x = 72

Divide each side by '3'.
x = 24

Simplifying
x = 24

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