(7x-14)+(3x+6)=x+2

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Solution for (7x-14)+(3x+6)=x+2 equation:


Simplifying
(7x + -14) + (3x + 6) = x + 2

Reorder the terms:
(-14 + 7x) + (3x + 6) = x + 2

Remove parenthesis around (-14 + 7x)
-14 + 7x + (3x + 6) = x + 2

Reorder the terms:
-14 + 7x + (6 + 3x) = x + 2

Remove parenthesis around (6 + 3x)
-14 + 7x + 6 + 3x = x + 2

Reorder the terms:
-14 + 6 + 7x + 3x = x + 2

Combine like terms: -14 + 6 = -8
-8 + 7x + 3x = x + 2

Combine like terms: 7x + 3x = 10x
-8 + 10x = x + 2

Reorder the terms:
-8 + 10x = 2 + x

Solving
-8 + 10x = 2 + 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.
-8 + 10x + -1x = 2 + x + -1x

Combine like terms: 10x + -1x = 9x
-8 + 9x = 2 + x + -1x

Combine like terms: x + -1x = 0
-8 + 9x = 2 + 0
-8 + 9x = 2

Add '8' to each side of the equation.
-8 + 8 + 9x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 2 + 8
9x = 2 + 8

Combine like terms: 2 + 8 = 10
9x = 10

Divide each side by '9'.
x = 1.111111111

Simplifying
x = 1.111111111

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