(x+6)+(2x-14)=7

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Solution for (x+6)+(2x-14)=7 equation:


Simplifying
(x + 6) + (2x + -14) = 7

Reorder the terms:
(6 + x) + (2x + -14) = 7

Remove parenthesis around (6 + x)
6 + x + (2x + -14) = 7

Reorder the terms:
6 + x + (-14 + 2x) = 7

Remove parenthesis around (-14 + 2x)
6 + x + -14 + 2x = 7

Reorder the terms:
6 + -14 + x + 2x = 7

Combine like terms: 6 + -14 = -8
-8 + x + 2x = 7

Combine like terms: x + 2x = 3x
-8 + 3x = 7

Solving
-8 + 3x = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 3x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 7 + 8
3x = 7 + 8

Combine like terms: 7 + 8 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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