(7x+2)=(8x-14)

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Solution for (7x+2)=(8x-14) equation:


Simplifying
(7x + 2) = (8x + -14)

Reorder the terms:
(2 + 7x) = (8x + -14)

Remove parenthesis around (2 + 7x)
2 + 7x = (8x + -14)

Reorder the terms:
2 + 7x = (-14 + 8x)

Remove parenthesis around (-14 + 8x)
2 + 7x = -14 + 8x

Solving
2 + 7x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + 7x + -8x = -14 + 8x + -8x

Combine like terms: 7x + -8x = -1x
2 + -1x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -1x = -14 + 0
2 + -1x = -14

Add '-2' to each side of the equation.
2 + -2 + -1x = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -14 + -2
-1x = -14 + -2

Combine like terms: -14 + -2 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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