(5x+6)=(7x-2)

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Solution for (5x+6)=(7x-2) equation:


Simplifying
(5x + 6) = (7x + -2)

Reorder the terms:
(6 + 5x) = (7x + -2)

Remove parenthesis around (6 + 5x)
6 + 5x = (7x + -2)

Reorder the terms:
6 + 5x = (-2 + 7x)

Remove parenthesis around (-2 + 7x)
6 + 5x = -2 + 7x

Solving
6 + 5x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 5x + -7x = -2 + 7x + -7x

Combine like terms: 5x + -7x = -2x
6 + -2x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -2x = -2 + 0
6 + -2x = -2

Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6

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

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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