X+(5x-26)+(18x-78)=1648

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Solution for X+(5x-26)+(18x-78)=1648 equation:


Simplifying
X + (5x + -26) + (18x + -78) = 1648

Reorder the terms:
X + (-26 + 5x) + (18x + -78) = 1648

Remove parenthesis around (-26 + 5x)
X + -26 + 5x + (18x + -78) = 1648

Reorder the terms:
X + -26 + 5x + (-78 + 18x) = 1648

Remove parenthesis around (-78 + 18x)
X + -26 + 5x + -78 + 18x = 1648

Reorder the terms:
-26 + -78 + X + 5x + 18x = 1648

Combine like terms: -26 + -78 = -104
-104 + X + 5x + 18x = 1648

Combine like terms: 5x + 18x = 23x
-104 + X + 23x = 1648

Solving
-104 + X + 23x = 1648

Solving for variable 'X'.

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

Add '104' to each side of the equation.
-104 + X + 104 + 23x = 1648 + 104

Reorder the terms:
-104 + 104 + X + 23x = 1648 + 104

Combine like terms: -104 + 104 = 0
0 + X + 23x = 1648 + 104
X + 23x = 1648 + 104

Combine like terms: 1648 + 104 = 1752
X + 23x = 1752

Add '-23x' to each side of the equation.
X + 23x + -23x = 1752 + -23x

Combine like terms: 23x + -23x = 0
X + 0 = 1752 + -23x
X = 1752 + -23x

Simplifying
X = 1752 + -23x

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