(5X-7)+(4X+11)=14-X

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Solution for (5X-7)+(4X+11)=14-X equation:


Simplifying
(5X + -7) + (4X + 11) = 14 + -1X

Reorder the terms:
(-7 + 5X) + (4X + 11) = 14 + -1X

Remove parenthesis around (-7 + 5X)
-7 + 5X + (4X + 11) = 14 + -1X

Reorder the terms:
-7 + 5X + (11 + 4X) = 14 + -1X

Remove parenthesis around (11 + 4X)
-7 + 5X + 11 + 4X = 14 + -1X

Reorder the terms:
-7 + 11 + 5X + 4X = 14 + -1X

Combine like terms: -7 + 11 = 4
4 + 5X + 4X = 14 + -1X

Combine like terms: 5X + 4X = 9X
4 + 9X = 14 + -1X

Solving
4 + 9X = 14 + -1X

Solving for variable 'X'.

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

Add 'X' to each side of the equation.
4 + 9X + X = 14 + -1X + X

Combine like terms: 9X + X = 10X
4 + 10X = 14 + -1X + X

Combine like terms: -1X + X = 0
4 + 10X = 14 + 0
4 + 10X = 14

Add '-4' to each side of the equation.
4 + -4 + 10X = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 10X = 14 + -4
10X = 14 + -4

Combine like terms: 14 + -4 = 10
10X = 10

Divide each side by '10'.
X = 1

Simplifying
X = 1

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