(3x-3)+(4x-14)=x

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Solution for (3x-3)+(4x-14)=x equation:


Simplifying
(3x + -3) + (4x + -14) = x

Reorder the terms:
(-3 + 3x) + (4x + -14) = x

Remove parenthesis around (-3 + 3x)
-3 + 3x + (4x + -14) = x

Reorder the terms:
-3 + 3x + (-14 + 4x) = x

Remove parenthesis around (-14 + 4x)
-3 + 3x + -14 + 4x = x

Reorder the terms:
-3 + -14 + 3x + 4x = x

Combine like terms: -3 + -14 = -17
-17 + 3x + 4x = x

Combine like terms: 3x + 4x = 7x
-17 + 7x = x

Solving
-17 + 7x = 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.
-17 + 7x + -1x = x + -1x

Combine like terms: 7x + -1x = 6x
-17 + 6x = x + -1x

Combine like terms: x + -1x = 0
-17 + 6x = 0

Add '17' to each side of the equation.
-17 + 17 + 6x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 6x = 0 + 17
6x = 0 + 17

Combine like terms: 0 + 17 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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