(5x-7)=(8x+2)

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Solution for (5x-7)=(8x+2) equation:


Simplifying
(5x + -7) = (8x + 2)

Reorder the terms:
(-7 + 5x) = (8x + 2)

Remove parenthesis around (-7 + 5x)
-7 + 5x = (8x + 2)

Reorder the terms:
-7 + 5x = (2 + 8x)

Remove parenthesis around (2 + 8x)
-7 + 5x = 2 + 8x

Solving
-7 + 5x = 2 + 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.
-7 + 5x + -8x = 2 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-7 + -3x = 2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -3x = 2 + 0
-7 + -3x = 2

Add '7' to each side of the equation.
-7 + 7 + -3x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 2 + 7
-3x = 2 + 7

Combine like terms: 2 + 7 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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