X+(x+13)+(4x-23)=752

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Solution for X+(x+13)+(4x-23)=752 equation:


Simplifying
X + (x + 13) + (4x + -23) = 752

Reorder the terms:
X + (13 + x) + (4x + -23) = 752

Remove parenthesis around (13 + x)
X + 13 + x + (4x + -23) = 752

Reorder the terms:
X + 13 + x + (-23 + 4x) = 752

Remove parenthesis around (-23 + 4x)
X + 13 + x + -23 + 4x = 752

Reorder the terms:
13 + -23 + X + x + 4x = 752

Combine like terms: 13 + -23 = -10
-10 + X + x + 4x = 752

Combine like terms: x + 4x = 5x
-10 + X + 5x = 752

Solving
-10 + X + 5x = 752

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + X + 10 + 5x = 752 + 10

Reorder the terms:
-10 + 10 + X + 5x = 752 + 10

Combine like terms: -10 + 10 = 0
0 + X + 5x = 752 + 10
X + 5x = 752 + 10

Combine like terms: 752 + 10 = 762
X + 5x = 762

Add '-5x' to each side of the equation.
X + 5x + -5x = 762 + -5x

Combine like terms: 5x + -5x = 0
X + 0 = 762 + -5x
X = 762 + -5x

Simplifying
X = 762 + -5x

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