100=(X+20)+(X-10)

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Solution for 100=(X+20)+(X-10) equation: 


Simplifying
100 = (X + 20) + (X + -10)

Reorder the terms:
100 = (20 + X) + (X + -10)

Remove parenthesis around (20 + X)
100 = 20 + X + (X + -10)

Reorder the terms:
100 = 20 + X + (-10 + X)

Remove parenthesis around (-10 + X)
100 = 20 + X + -10 + X

Reorder the terms:
100 = 20 + -10 + X + X

Combine like terms: 20 + -10 = 10
100 = 10 + X + X

Combine like terms: X + X = 2X
100 = 10 + 2X

Solving
100 = 10 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
100 + -2X = 10 + 2X + -2X

Combine like terms: 2X + -2X = 0
100 + -2X = 10 + 0
100 + -2X = 10

Add '-100' to each side of the equation.
100 + -100 + -2X = 10 + -100

Combine like terms: 100 + -100 = 0
0 + -2X = 10 + -100
-2X = 10 + -100

Combine like terms: 10 + -100 = -90
-2X = -90

Divide each side by '-2'.
X = 45

Simplifying
X = 45

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