X+(x-5)+2(x-5)+20=53

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Solution for X+(x-5)+2(x-5)+20=53 equation:


Simplifying
X + (x + -5) + 2(x + -5) + 20 = 53

Reorder the terms:
X + (-5 + x) + 2(x + -5) + 20 = 53

Remove parenthesis around (-5 + x)
X + -5 + x + 2(x + -5) + 20 = 53

Reorder the terms:
X + -5 + x + 2(-5 + x) + 20 = 53
X + -5 + x + (-5 * 2 + x * 2) + 20 = 53
X + -5 + x + (-10 + 2x) + 20 = 53

Reorder the terms:
-5 + -10 + 20 + X + x + 2x = 53

Combine like terms: -5 + -10 = -15
-15 + 20 + X + x + 2x = 53

Combine like terms: -15 + 20 = 5
5 + X + x + 2x = 53

Combine like terms: x + 2x = 3x
5 + X + 3x = 53

Solving
5 + X + 3x = 53

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X + -5 + 3x = 53 + -5

Reorder the terms:
5 + -5 + X + 3x = 53 + -5

Combine like terms: 5 + -5 = 0
0 + X + 3x = 53 + -5
X + 3x = 53 + -5

Combine like terms: 53 + -5 = 48
X + 3x = 48

Add '-3x' to each side of the equation.
X + 3x + -3x = 48 + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 48 + -3x
X = 48 + -3x

Simplifying
X = 48 + -3x

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