(3x-14)+(2x+9)=x

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Solution for (3x-14)+(2x+9)=x equation:


Simplifying
(3x + -14) + (2x + 9) = x

Reorder the terms:
(-14 + 3x) + (2x + 9) = x

Remove parenthesis around (-14 + 3x)
-14 + 3x + (2x + 9) = x

Reorder the terms:
-14 + 3x + (9 + 2x) = x

Remove parenthesis around (9 + 2x)
-14 + 3x + 9 + 2x = x

Reorder the terms:
-14 + 9 + 3x + 2x = x

Combine like terms: -14 + 9 = -5
-5 + 3x + 2x = x

Combine like terms: 3x + 2x = 5x
-5 + 5x = x

Solving
-5 + 5x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
-5 + 4x = x + -1x

Combine like terms: x + -1x = 0
-5 + 4x = 0

Add '5' to each side of the equation.
-5 + 5 + 4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 0 + 5
4x = 0 + 5

Combine like terms: 0 + 5 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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